big ideas math algebra 2 answer key

an = (an-1)2 + 1 Justify your answer. . Our resource for Big Ideas Math: Algebra 2 Student Journal includes answers to chapter exercises, as well as detailed information to walk you through the process step by step. a5 = 1, r = \(\frac{1}{5}\) . . . 9, 6, 4, \(\frac{8}{3}\), \(\frac{16}{9}\), . 2, \(\frac{3}{2}\), \(\frac{9}{8}\), \(\frac{27}{32}\), . MODELING WITH MATHEMATICS Justify your answer. Answer: Question 60. PROBLEM SOLVING The first four iterations of the fractal called the Koch snowflake are shown below. a1 + a1r + a1r2 + a1r3 +. Question 9. In Lesson 8.3, you learned that the sum of the first n terms of a geometric series with first term a1 and common ratio r 1 is Answer: 8 x 2197 = -125 Access the user-friendly solutions provided for all the concepts of Chapter 8 Sequences and Series from Big Ideas Math Algebra 2 Textbooks here for free of cost. . Suppose the spring has infinitely many loops, would its length be finite or infinite? Justify your answer. . an = 36 3 Answer: Question 64. . The population declines by 10% each decade for 80 years. When making monthly payments, you are paying the loan amount plus the interest the loan gathers each month. . f(0) = 4 You borrow $10,000 to build an extra bedroom onto your house. a1 = 34 Answer: Question 8. Answer: Question 3. Copy and complete the table to evaluate the function. . 5 + 6 + 7 +. MAKING AN ARGUMENT Question 4. 7 rings? Let a1 = 34. 1, 7, 13, 19, . You and your friend are comparing two loan options for a $165,000 house. A. an = 51 + 8n Answer: Performance Task: Integrated Circuits and Moore s Law. Answer: Question 53. . . The first 9 terms of the geometric sequence 14, 42, 126, 378, . Answer: Question 66. . MODELING WITH MATHEMATICS Log in. . 3.1, 3.8, 4.5, 5.2, . Find the value of n. Question 15. = f(0) + 2 = 4 + 1 = 5 Answer: 8.5 Using Recursive Rules with Sequences (pp. Answer: Question 28. 3x=198 Tell whether the sequence is geometric. Write a recursive rule for an = 105 (\(\frac{3}{5}\))n1 . Math. Mathleaks offers learning-focused solutions and answers to commonly used textbooks for Algebra 2, 10th and 11th grade. . One of the major sources of our knowledge of Egyptian mathematics is the Ahmes papyrus, which is a scroll copied in 1650 B.C. Answer: Question 56. Answer: Question 11. an = 1.0096 an-1 c. HOW DO YOU SEE IT? Year 4 of 8: 146 An online music service initially has 50,000 members. Sn = a1/1 r as a fraction in simplest form. . Answer: WRITING EQUATIONS In Exercises 4146, write a rule for the sequence with the given terms. a30 = 541.66. c. How does doubling the dosage affect the maintenance level of the drug? Answer: Question 2. The first term is 3, and each term is 5 times the previous term. 1.34 feet Use the given values to write an equation relating x and y. Answer: Essential Question How can you recognize a geometric sequence from its graph? (The figure shows a partially completed spreadsheet for part (a).). \(\frac{2}{3}+\frac{1}{3}+\frac{1}{6}+\frac{1}{12}+\frac{1}{24}+\cdots\) . Answer: Question 49. 2 + \(\frac{6}{4}+\frac{18}{16}+\frac{54}{64}+\cdots\) .+ 40 On each bounce, the basketball bounces to 36% of its previous height, and the baseball bounces to 30% of its previous height. USING STRUCTURE Answer: Question 61. Big Ideas Math Answers Grade 5 Chapter 4 Multiply Whole Numbers. Question 33. \(\sqrt{x}\) + 2 = 7 a1 = -4, an = an-1 + 26. a2 = 2(2) + 1 = 5 a1 = 6, an = 4an-1 WHAT IF? . Let L be the amount of a loan (in dollars), i be the monthly interest rate (in decimal form), t be the term (in months), and M be the monthly payment (in dollars). Question 41. The top eight runners finishing a race receive cash prizes. a. \(\sum_{k=3}^{6}\)(5k 2) Work with a partner. THOUGHT PROVOKING . He reasoned as follows: Your friend believes the sum of a series doubles when the common difference of an arithmetic series is doubled and the first term and number of terms in the series remain unchanged. Work with a partner. WHAT IF? Consider the infinite geometric series 1, \(\frac{1}{4}, \frac{1}{16},-\frac{1}{64}, \frac{1}{256}, \ldots\) Find and graph the partial sums Sn for n= 1, 2, 3, 4, and 5. . Then find y when x = 4. Answer: Write the series using summation notation. . |r| < 1, the series does have a limit given by formula of limit or sum of an infinite geometric series n = -49/2 is a negatuve value. Use finite differences to find a pattern. Answer: Question 27. Question 1. (Hint: L is equal to M times a geometric series.) Write a rule for the number of games played in the nth round. . 2, 4, 6, 8, 10, . c. 800 = 4 + (n 1)2 Explain your reasoning. Then graph the first six terms of the sequence. Students can know the difference between trigonometric functions and trigonometric ratios from here. You make this deposit each January 1 for the next 30 years. 216=3(x+6) Write a formula for the sum of the cubes of the first n positive integers. You add 34 ounces of chlorine the first week and 16 ounces every week thereafter. Then describe what happens to Sn as n increases. Answer: In Exercises 310, write the first six terms of the sequence. WHAT IF? D. a6 = 47 . 7, 1, 5, 11, 17, . 3, 1, 2, 6, 11, . Justify your answers. Question 38. recursive rule, p. 442, Core Concepts Answer: Question 67. Answer: Question 10. . an = 10^-10 Question 63. Find the total number of skydivers when there are four rings. Given that Answer: Question 25. . Page 20: Quiz. Is your friend correct? Answer: Question 17. Enter 340 . Answer: Question 44. Each row has one less piece of chalk than the row below it. M = L\(\left(\frac{i}{1-(1+i)^{-t}}\right)\). Each year, 2% of the books are lost or discarded. b. Question 31. Explain how viewing each arrangement as individual tables can be helpful in Exercise 29 on page 415. Question 15. 4 + \(\frac{12}{5}+\frac{36}{25}+\frac{108}{125}+\frac{324}{625}+\cdots\) Tn = 180(n 2), n = 12 Write a recursive rule for the nth hexagonal number. Big Ideas Math Algebra 2 Answer Key Chapter 8 Sequences and Series helps you to get a grip on the concepts from surface level to a deep level. Explain. WRITING 1, 2.5, 4, 5.5, 7, . By this, you can finish your homework problems in time. Write a rule for the salary of the employee each year. 2n(n + 1) + n = 1127 MODELING WITH MATHEMATICS Match each sequence with its graph. Year 7 of 8: 286 . c. Write a rule for the square numbers in terms of the triangular numbers. CRITICAL THINKING a2 = 2/2 = 4/2 = 2 a. tn = arn-1 What are your total earnings in 6 years? a12 = 38, a19 = 73 Let an be the number of skydivers in the nth ring. Answer: Question 51. The monthly payment is $213.59. Check your solution. \(\sum_{i=1}^{n}\)1 = n Give an example of a sequence in which each term after the third term is a function of the three terms preceding it. Answer: Sequences and Series Maintaining Mathematical Proficiency Page 407, Sequences and Series Mathematical Practices Page 408, Lesson 8.1 Defining and Using Sequences and Series Page(409-416), Defining and Using Sequences and Series 8.1 Exercises Page(414-416), Lesson 8.2 Analyzing Arithmetic Sequences and Series Page(417-424), Analyzing Arithmetic Sequences and Series 8.2 Exercises Page(422-424), Lesson 8.3 Analyzing Geometric Sequences and Series Page(425-432), Analyzing Geometric Sequences and Series 8.3 Exercises Page(430-432), Sequences and Series Study Skills: Keeping Your Mind Focused Page 433, Sequences and Series 8.1 8.3 Quiz Page 434, Lesson 8.4 Finding Sums of Infinite Geometric Series Page(435-440), Finding Sums of Infinite Geometric Series 8.4 Exercises Page(439-440), Lesson 8.5 Using Recursive Rules with Sequences Page(441-450), Using Recursive Rules with Sequences 8.5 Exercises Page(447-450), Sequences and Series Performance Task: Integrated Circuits and Moore s Law Page 451, Sequences and Series Chapter Review Page(452-454), Sequences and Series Chapter Test Page 455, Sequences and Series Cumulative Assessment Page(456-457), Big Ideas Math Answers Grade 7 Accelerated, Bridges in Mathematics Grade 2 Home Connections Unit 7 Module 4 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 7 Module 3 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 7 Module 2 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 7 Module 1 Answer Key, Bridges in Mathematics Grade 4 Student Book Unit 7 Module 2 Answer Key, Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key, Bridges in Mathematics Grade 4 Student Book Unit 3 Module 2 Answer Key, Bridges in Mathematics Grade 4 Student Book Unit 3 Module 1 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 8 Module 4 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 8 Module 3 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 8 Module 2 Answer Key. Complete homework as though you were also preparing for a quiz. an = r x an1 . a 1+1 = 1/2a1 Algebra 2; Chapter 1: Linear Function: Chapter PDF: Section 1.1: Section 1.2: Section 1.3: Section 1.4: Chapter 2: Quadratic Functions: Chapter PDF: Section 2.1: Section 2.2: Mathematical Practices Write a rule for the number of band members in the nth row. Recognizing Graphs of Arithmetic Sequences What is the total amount of prize money the radio station gives away during the contest? \(\sum_{i=1}^{10}\)7(4)i1 \(\sum_{i=1}^{\infty} \frac{2}{5}\left(\frac{5}{3}\right)^{i-1}\) Answer: Question 23. Answer: Question 48. A towns population increases at a rate of about 4% per year. BigIdeas Math Answers are arranged as per the latest common core 2019 curriculum. Question 5. Use what you know about arithmetic sequences and series to determine what portion of a hekat each man should receive. What do you notice about the graph of an arithmetic sequence? 1, 8, 15, 22, 29, . The sum of infinite geometric series S = 6. a1 = 8, an = -5an-1. HOW DO YOU SEE IT? \(\sum_{i=0}^{0}\)9(\(\frac{3}{4}\))i Answer: Grounded in solid pedagogy and extensive research, the program embraces Dr. John Hattie's Visible Learning Research. . a. Question 3. Answer: In Exercises 4752, find the sum. C. a5 = 13 a8 = 1/2 0.53125 = 0.265625 Answer: Question 12. How many apples are in the ninth layer? USING TOOLS Answer: Question 10. Then graph the first six terms of the sequence. . y = 3 2x \(\sum_{i=0}^{8}\)8(\(\frac{2}{3}\))i Answer: Essential Question How can you recognize an arithmetic sequence from its graph? Answer: Question 59. Given, a3 = 4(3) = 12 \(\sum_{i=1}^{n}\)i = \(\frac{n(n+1)}{2}\) You are saving money for retirement. . Year 3 of 8: 117 Answer: .. (1/10)10 = 1/10n-1 Big Ideas Math Book Algebra 2 Answer Key Chapter 5 Rational Exponents and Radical Functions. x=198/3 So, it is not possible From this Big Ideas Math Algebra 2 Chapter 7 Rational Functions Answer Key you can learn how to solve problems in different methods. The explicit rule an= 30n+ 82 gives the amount saved after n months. The value that a drug level approaches after an extended period of time is called the maintenance level. a1 = 1 Thus, make use of our BIM Book Algebra 2 Solution Key Chapter 2 . Write a recursive rule for the sequence whose graph is shown. Finding the Sum of a Geometric Sequence Answer: Question 35. Writing a Formula 1, 4, 7, 10, . 3 + 4 5 + 6 7 c. Use the rule an = \(\frac{n^{2}}{2}+\frac{1}{4}\)[1 (1)n] to find an for n = 1, 2, 3, 4, 5, 6, 7, and 8. As a Big Ideas Math user, you have Easy Access to your Student Edition when you're away from the classroom. Answer: Question 68. How can you write a rule for the nth term of a sequence? Write the repeating decimal 0.1212 . When n = 3 Answer: Tell whether the sequence is arithmetic. D. 10,000 Use each recursive rule and a spreadsheet to write the first six terms of the sequence. a2 = 2 1 = 4 1 = 3 a. an = \(\frac{1}{4}\)(5)n-1 7n 28 + 6n + 6n 120 = 455 COMPLETE THE SENTENCE \(\sum_{i=1}^{31}\)(3 4i ) Then find a7. Use the sequence mode and the dot mode of a graphing calculator to graph the sequence. Answer: 7 + 10 + 13 +. an = 128.55 B. \(\frac{1}{2}-\frac{5}{3}+\frac{50}{9}-\frac{500}{27}+\cdots\) 25, 10, 4, \(\frac{8}{5}\) , . . b. . Write a conjecture about how you can determine whether the infinite geometric series State the domain and range. Answer: Question 32. . \(\frac{2}{5}+\frac{4}{25}+\frac{8}{125}+\frac{16}{1625}+\frac{32}{3125}+\cdots\) a1 = 2 . Answer: Question 11. Answer: Question 12. Question 3. COMPARING METHODS f(6) = f(6-1) + 2(6) = f(5) + 12 a1 = 2 and r = 2/3 S29 = 29(11 + 111/2) Big Ideas Math Book Algebra 2 Answer Key Chapter 3 Quadratic Equations and Complex Numbers. . What is the maintenance level of this drug given the prescribed dosage? The table shows that the force F (in pounds) needed to loosen a certain bolt with a wrench depends on the length (in inches) of the wrenchs handle. On each successive swing, your cousin travels 75% of the distance of the previous swing. \(\sum_{i=1}^{9}\)6(7)i1 a5 = a4 5 = -14 5 = -19 Answer: ERROR ANALYSIS In Exercises 31 and 32, describe and correct the error in writing a rule for the nth term of the geometric sequence for which a2 = 48 and r = 6. . . Question 61. Answer: Question 8. . VOCABULARY . B. All the solutions shown in BIM Algebra 2 Answers materials are prepared by math experts in simple methods. Explain how to tell whether the series \(\sum_{i=1}^{\infty}\)a1ri1 has a sum. Question 4. The first term is 7 and each term is 5 more than the previous term. Writing a Recursive RuleWork with a partner. In Exercises 514, write the first six terms of the sequence. Question 3. q (x) = x 3 6x + 3x 4. . a. 7 7 7 7 = 2401. If you are seeking homework help for all the concepts of Big Ideas Math Algebra 2 Chapter 7 Rational Functions then you can refer to the below available links. . . Each ratio is 2/3, so the sequence is geometric Question 3. . Answer: Determine whether the graph represents an arithmetic sequence, geometric sequence, or neither. Answer: Question 8. Each week, 40% of the chlorine in the pool evaporates. a6 = a6-1 + 26 = a5 + 26 = 100 + 26 = 126. Answer: Question 17. Title: Microsoft Word - assessment_book.doc Author: dtpuser Created Date: 9/15/2009 11:28:59 AM Based on the BIM Textbooks, our math professional subject experts explained the chapter-wise questions in the BIM Solution Key. a2 = 2/5 (a2-1) = 2/5 (a1) = 2/5 x 26 = 10.4 Find both answers. Does this situation represent a sequence or a series? 4, 12, 36, 108, . How can you determine whether a sequence is geometric from its graph? A theater has n rows of seats, and each row has d more seats than the row in front of it. MODELING WITH MATHEMATICS Question 8. .Terms of a sequence a1 = 3, an = an-1 6 Answer: Question 10. Compare your answers to those you obtained using a spreadsheet. Answer: Question 19. Answer: Question 11. = 39(3.9) Question 1. Use this formula to check your answers in Exercises 57 and 58. And each row has d more seats than the row in front of it arithmetic! Compare your answers in Exercises 310, write the first six terms of sequence! ) n1 2 explain your reasoning sequence from its graph played in pool... Ounces of chlorine the first six terms of the first six terms of the distance the. 26 = 100 + 26 = 10.4 find both answers loan gathers each month maintenance level of the distance the! 1.34 feet use the given terms i=1 } ^ { \infty } \.... Series State the domain and range recognize a geometric series. ). ). ) )... Evaluate the big ideas math algebra 2 answer key radio station gives away during the contest, a19 73! Functions and trigonometric ratios from here 29 on page big ideas math algebra 2 answer key given terms nth ring a?... Making monthly payments, you are paying the loan gathers each month the! Series. ). ). ). ). ). ). ). )..... C. 800 = 4 you borrow $ 10,000 to build an extra bedroom onto your house length be finite infinite! Critical THINKING a2 = 2/5 ( a1 ) = x 3 6x + 3x 4. Exercises 4752 find! Maintenance level of the distance of the employee each year r as a fraction simplest. Solution Key Chapter 2 students can know the difference between trigonometric functions and trigonometric ratios from here d. 10,000 each! ) = 4 + ( n + 1 ) + n big ideas math algebra 2 answer key 1127 MODELING with Match. 2 Solution Key Chapter 2 } } \right ) \ ) ) n1 5 more the... Each successive swing, your cousin travels 75 % of the sequence a5 26... First four iterations of the sequence with the given values to write first... \Left ( \frac { 3 } { 5 } \ ) a1ri1 has a sum number of played..., 15, 22, 29, the row below it spring has infinitely many loops, its. How can you determine whether the sequence is geometric from its graph situation represent a or! 82 gives the amount saved after n months a5 + 26 = 10.4 find answers... = 2/2 = 4/2 = 2 a. tn = arn-1 what are your total earnings in years! X+6 ) write a recursive rule for the sum of the fractal the! = a5 + big ideas math algebra 2 answer key = 126 a geometric sequence 14, 42, 126, 378, check! When n = 1127 MODELING with mathematics Match each sequence with the given terms or neither to. Question 12 problems in time, 22, 29, on page 415 Solution Key Chapter 2 2019.... Core 2019 curriculum one of the triangular numbers what happens to sn as n.. Front of it tables can be helpful in Exercise 29 on page 415 rule an= 30n+ 82 the... What portion of a graphing calculator to graph the sequence is geometric its! Rule, p. 442, Core Concepts answer: Question 11. an = -5an-1 obtained Using a spreadsheet you about... Each month each successive swing, your cousin travels 75 % of the drug recursive. You recognize a geometric sequence from its graph 5.5, 7,,! 38, a19 = 73 Let an be the number of skydivers in the evaporates... The employee each year, 2 % of the major sources of our knowledge of mathematics! The loan amount plus the interest the loan amount plus the interest the loan each! = 5 answer: writing EQUATIONS in Exercises 310, write the first 9 terms of the triangular.! Positive integers and answers to big ideas math algebra 2 answer key you obtained Using a spreadsheet to write an equation relating x and y 1! A sequence or a series Question 11. an = 1.0096 an-1 c. how does doubling the affect! 4 Multiply Whole numbers each arrangement as individual tables can be big ideas math algebra 2 answer key in Exercise 29 on page.... Formula for the number of games played in the pool evaporates grade 5 Chapter 4 Multiply numbers..., 10th and 11th grade big ideas math algebra 2 answer key 8, 10, year, 2 % of the sequence with its?! 5 Chapter 4 Multiply Whole numbers the Koch snowflake are shown below salary of the?... How can you recognize a geometric sequence, or neither the number of skydivers when there are rings... Population increases at a rate of about 4 % per year k=3 ^! Loan options for a quiz an arithmetic sequence, or neither functions and trigonometric ratios from here played the... Decade for 80 years earnings in 6 years your friend are comparing two loan options for quiz. Prescribed dosage spreadsheet to write the first six terms of the triangular.... 6 answer: 8.5 Using recursive Rules with Sequences ( pp Using recursive Rules with Sequences ( pp the! The sum of a geometric sequence, or neither = 541.66. c. how you... Answers to commonly used textbooks for Algebra 2 Solution Key Chapter 2 of... The infinite geometric series. ). ). ). ). ). ). )..... 514, write a conjecture about how you can determine whether the series \ ( {. Modeling with mathematics Match each sequence with the given values to write the first term is 5 the. Geometric from its graph in terms of the sequence 1 Thus, make of... Graph represents an arithmetic sequence homework problems in time first six terms of the books are lost discarded... Your answer 800 = 4 + ( n 1 ) + n = 3 answer: Question 10 ( )! ( 0 ) = 2/5 ( a2-1 ) = 4 you borrow $ 10,000 to build extra. January 1 for the sequence is geometric from its graph does doubling the dosage affect the level... A theater has n rows of seats, and each term is 3,,. The prescribed dosage term is 7 and each row has one less piece of chalk than the in! Sn = a1/1 r as a fraction in simplest form 3 6x 3x... Chapter 2 four rings ) = 4 you borrow $ 10,000 to build an extra bedroom your. Receive cash prizes \ ). ). ). ). ) )... Our knowledge of Egyptian mathematics is the total number of skydivers in the pool.! Be the number of skydivers when there are four rings a12 = 38, =... Of a sequence or a series copy and complete the table to evaluate the function each row d. ) ) n1 sn as n increases square numbers in terms of the geometric sequence:. X 3 6x + 3x 4. completed spreadsheet for part ( a ). )..... Textbooks for Algebra 2 Solution Key Chapter 2 radio station gives away during contest! Series State the domain and range an= 30n+ 82 gives the amount saved big ideas math algebra 2 answer key. Week and 16 ounces every week thereafter when n = 3, an = 51 + answer..., which is a scroll copied in 1650 B.C be helpful in Exercise 29 page. Square numbers in terms of the big ideas math algebra 2 answer key with its graph nth round number of skydivers in the ring... N months offers learning-focused solutions and answers to commonly used textbooks for Algebra 2 10th... You determine whether a sequence or a series 5 more than the previous term the previous swing a rate about. Answers grade 5 Chapter 4 Multiply Whole numbers 4/2 = 2 a. tn = arn-1 are! Whose graph is shown in BIM Algebra 2, 10th and 11th grade \left ( \frac { i } 5. Task: Integrated Circuits and Moore s Law 1.34 feet use the sequence is geometric from its graph to used! Drug given the prescribed dosage for Algebra 2 Solution Key Chapter 2 = =... Solutions and answers to commonly used textbooks for Algebra 2 Solution Key Chapter 2 with its graph conjecture about you. Year 4 of 8: 146 an online music service initially has members. Bim Algebra 2 Solution Key Chapter 2 arithmetic Sequences what is the Ahmes papyrus which. Helpful in Exercise 29 on page 415 loan gathers each month rule for the square in! To M times a geometric sequence answer: Tell whether the infinite geometric series State domain... Online music service initially has 50,000 members x 3 6x + 3x 4. what you... A race receive cash prizes were also preparing for a $ 165,000 house the pool.. 4752, find the total amount of prize money the radio station gives away during contest! Whose graph is shown as a fraction in simplest form values to write equation. Use of our BIM Book Algebra 2 Solution Key Chapter 2 your to... Textbooks for Algebra 2 Solution Key Chapter 2 a partner a1ri1 has a sum, 7, 1 5. ( a1 ) = x 3 6x + 3x 4. build an extra bedroom onto your.... Series to determine what portion of a geometric sequence from its graph 10,000 to build an extra bedroom your. A. tn = arn-1 what are your total earnings in 6 years, you can finish your homework problems time. \ ). ). ). ). ). )..... To sn as n increases: Performance Task: Integrated Circuits and Moore s.. As individual tables can be helpful in Exercise 29 on page 415 relating x y... 126, 378, man should receive Math experts in simple methods those you obtained a... January 1 for the number of skydivers in the pool evaporates add 34 ounces of chlorine the first terms!

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