This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 8 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 8 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the common ratio of the geometric sequence below?5, 25, 125, 625 ..... A) 4. B) 20. C) 5. D) 25. Show Answer Correct Answer: C) 5. 2. David owns a chain of fast food restaurants that operated 200 stores in 1999. If the rate of increase is 7% annually, how many stores does the restaurant operate in 2007?What would you use for your exponent in this problem? A) 8. B) 1999. C) 2007. D) 7. Show Answer Correct Answer: A) 8. 3. Find the next for terms in the sequence-26, -33, -40 ..... A) -54, -68, -82, -96. B) -33, -26, -19, -12. C) -7, -14, -21, -28. D) -47, -54, -61, -68. Show Answer Correct Answer: D) -47, -54, -61, -68. 4. If three geometric means are inserted between 162 and 2, what is the first geometric mean? A) 54. B) 8. C) 18. D) 6. Show Answer Correct Answer: A) 54. 5. Which of these films had the biggest opening weekend of 2015? A) Mad Max:Fury Road. B) Star Wars:The Force Awakens. C) Avengers:Age of Ultron. D) Jurassic World. Show Answer Correct Answer: B) Star Wars:The Force Awakens. 6. Write the recursive formula:13, 22, 31, 40, ..... A) A$_{n}$ = a$_{n-1}$ + 9, a$_{1}$ = 13. B) A$_{n}$ = a$_{n-1}$ + 9, a$_{1}$ = 22. C) A$_{n}$ = a$_{n-1}$ + 11, a$_{1}$ = 13. D) A$_{n}$ = a$_{n-1}$ + 9, a$_{1}$ = 31. Show Answer Correct Answer: A) A$_{n}$ = a$_{n-1}$ + 9, a$_{1}$ = 13. 7. Find the sum of the 1st 100 terms:100+98+96+ ..... A) 100. B) 50. C) -98. D) 1000. Show Answer Correct Answer: A) 100. 8. Find the sum of the first 20 terms of geometric progressions 81, 27, 9, 3, ..... A) -121.5. B) 120.5. C) -120.5. D) 121.5. Show Answer Correct Answer: D) 121.5. 9. The first term of an arithmetic sequence is 2 while the 18th term is 87. Find the common difference of the sequence. A) 5. B) 3. C) 7. D) 6. Show Answer Correct Answer: A) 5. 10. Find the sum of the first 6 terms of the sequence:a = 100 (1/2)$^{n-1}$ A) 1575/8. B) 300. C) 100000. D) 250. Show Answer Correct Answer: A) 1575/8. 11. Determine if the following sequence is arithmetic or geometric.4, 9, 14, 19, 24, ..... A) Arithmetic. B) Geometric. C) All the above. D) None of the above. Show Answer Correct Answer: A) Arithmetic. 12. Write an explicit formula for the sequence 1.5, 2.0, 2.5, 3.0, ..... Hint:The sequence is arithmetic so use this formula:$a_n=a_1+d\left(n-1\right)$ A) $a_n=0.5-1.5\left(n-1\right)$. B) $a_n=1.5-0.5\left(n-1\right)$. C) $a_n=1.5+0.5\left(n-1\right)$. D) $a_n=0.5+1.5\left(n-1\right)$. Show Answer Correct Answer: C) $a_n=1.5+0.5\left(n-1\right)$. 13. The second and third term of a geometric sequence is 192 and 144 respectively, what is the common ratio? A) 1. B) 3/4. C) 1/2. D) 1/4. Show Answer Correct Answer: B) 3/4. 14. Find the first four terms of the sequence given the rule:U$_{n}$ = 4(5)$^{n-1}$ A) 5, 20, 80, 320. B) 20, 100, 500, 2500. C) 4, 9, 14, 19. D) 4, 20, 100, 500. Show Answer Correct Answer: D) 4, 20, 100, 500. 15. Does the sequence a$_{n}$ = 2 + (0.8)$^{n}$ converge or diverge? A) Diverge. B) Converge and the limit is 0. C) Converge and the limit is 2. D) Converge and the limit is 7. Show Answer Correct Answer: C) Converge and the limit is 2. 16. Determine if the sequence is Arithmetic, Geometric, or neither.1, 1, 2, 3, 5, 8, 13, ..... A) Arithmetic. B) Geometric. C) Neither. D) None of the above. Show Answer Correct Answer: C) Neither. 17. Given the rule:a$_{n}$ = 7(1/2)$^{n-1}$Identify the common ratio. A) A$_{n}$. B) 7. C) 1/2. D) N-1. Show Answer Correct Answer: C) 1/2. 18. There are 20 rows of seats on a concert hall:25 seats are in the 1$^{st}$ row, 27 seats on the 2$^{nd}$ row, 29 seats on the 3$^{rd}$ row, and so on. How many seats are in the last row? A) 65. B) 950. C) 63. D) 67. Show Answer Correct Answer: C) 63. 19. The next two terms in the sequence 3, -6, 12, -24, ..... are A) 48 and 96. B) -48 and-96. C) -48 and 96. D) 48 and-96. Show Answer Correct Answer: D) 48 and-96. 20. Does the sequence a$_{n}$ = (2n-1)! / (2n + 1)! converge or diverge? A) Diverge. B) Converge and the limit is 1. C) Converge and the limit is 0. D) Converge and the limit is 1/4. Show Answer Correct Answer: C) Converge and the limit is 0. 21. Is the sequence arithmetic:17, 9, 1, -7, ..... A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 22. Find the n$^{th}$ term of the following sequence ..... 11, 17, 23, 29 ..... A) 6n+5. B) 6n-5. C) 5n+6. D) 5n-6. Show Answer Correct Answer: A) 6n+5. 23. Is the sequence arithmetic:-3, 3, -3, 3, ..... A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 24. Find the sum of the first 25 terms of the series:6+14+22+30+ ..... A) 550. B) 2550. C) 450. D) 2650. Show Answer Correct Answer: B) 2550. 25. A YouTube channel makes $ 50 the first week. The amount goes up 5% a week for 6 weeks. How much money will come in from the channel? (Round to the nearest penny.) A) $ 320.15. B) $ 370.75. C) $ 340.10. D) $ 300.05. Show Answer Correct Answer: C) $ 340.10. 26. Evaluate the geometric series described.3+15+75+375+ ..... , n=6 A) $11718$. B) 11718 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $11718$. 27. It is a sequence wherein the terms are generated by adding a constant number called common difference. A) Harmonic Sequence. B) Geometric Sequence. C) Fibonacci Sequence. D) Arithmetic Sequence. Show Answer Correct Answer: D) Arithmetic Sequence. 28. Evaluate the arithmetic series described:28 + 38 + 48 + 58 ..... , n=7 A) 3290. B) 1644. C) 406. D) 812. Show Answer Correct Answer: C) 406. 29. Find the sum of the 1st 20 terms:2+5+8+ ..... A) 1220. B) 600. C) 610. D) 612. Show Answer Correct Answer: C) 610. 30. Find the sum of the first 9 terms:-2 +-6 +-18 + ..... A) -59, 048. B) -39, 366. C) -19, 682. D) -4, 374. Show Answer Correct Answer: C) -19, 682. 31. What is the 4$^{th}$ term ..... 3, 6, 12, ..... A) 24. B) 21. C) All the above. D) None of the above. Show Answer Correct Answer: A) 24. 32. Find S$_{n}$ for the given series:a$_{1}$=22d=-8n=21 A) -1218. B) -2346. C) -1449. D) 1911. Show Answer Correct Answer: A) -1218. 33. Find the 13th term:2, 6, 18, 54, ..... A) 5 bazillion. B) 123, 587. C) 1, 062, 882. D) 1, 000, 000. Show Answer Correct Answer: C) 1, 062, 882. 34. After knee surgery, your trainer tells you to return to your jogging program slowly. He suggests jogging for 12 minutes each day for the first week. Each week thereafter, he suggests that you increase that time by 6 minutes per day.How many weeks will it be before you are up to jogging 60 minutes per day? A) 8 weeks. B) 9 weeks. C) 7 weeks. D) 10 weeks. Show Answer Correct Answer: B) 9 weeks. 35. Identify the degree of the expression3x-2 A) 3. B) 2. C) 1. D) 4. Show Answer Correct Answer: C) 1. 36. Evaluate the geometric series below:-4-8-16-32 ..... , S$_{6}$ A) -235. B) 4. C) -252. D) -253. Show Answer Correct Answer: C) -252. 37. Find the next three terms in the sequence.10, 20, 40, 80, ..... A) 90, 100, 110. B) 40, 20, 10. C) 81, 82, 83. D) 160, 320, 640. Show Answer Correct Answer: D) 160, 320, 640. 38. A theater has 60 seats in the first row, 68 seats in the second row, 76 seats in the third row, and so on in the same increasing pattern.If the theater has 20 rows of seats, how many seats are in the 20th row of the theater? A) 172 seats. B) 188 seats. C) 180 seats. D) 212 seats. Show Answer Correct Answer: D) 212 seats. 39. A$_{n}$ = a$_{1}$ * (r)$^{n-1}$ What formula is this? A) Explicit Geometric Formula. B) Finite Arithmetic Series Formula. C) Explicit Arithmetic Formula. D) Finite Geometric Series Formula. Show Answer Correct Answer: A) Explicit Geometric Formula. 40. Write the first five terms of the sequencet$_{n}$= 9-3n A) I need tutoring. B) 9, 18, 27, 36, 45. C) 6, 3, 0, -3, -6. D) 9, 12, 15, 18, 21. Show Answer Correct Answer: C) 6, 3, 0, -3, -6. 41. Find the value of k so that the terms 2k +1, 3k + 4 and 7k + 6 form a geometric sequence. A) 2 ; 1. B) -2 ; 1. C) -2 ;-1. D) 2 ;-1. Show Answer Correct Answer: D) 2 ;-1. 42. Evaluate S$_{8}$:2 + 6 + 10 + 14 + ..... A) 255. B) 256. C) 494. D) 128. Show Answer Correct Answer: D) 128. 43. Find the sum:$\sum_{n=1}^{34}\left(-17+8n\right)$ A) $4468$. B) $4182$. C) $4074$. D) $3806$. Show Answer Correct Answer: B) $4182$. 44. Write a recursive rule for the sequence a$_{n}$ = 17 + (n-1)(-16) A) A$_{1}$ = 17a$_{n}$ = a$_{n-1}$ + 16. B) A$_{1}$ = 17a$_{n}$ = a$_{n-1}$-15. C) A$_{1}$ = 17a$_{n}$ = a$_{n-1}$-16. D) A$_{1}$ = 17a$_{n}$ = a$_{n-1}$-17. Show Answer Correct Answer: C) A$_{1}$ = 17a$_{n}$ = a$_{n-1}$-16. 45. In an arithmetic sequence, the fifth term is 34 and the tenth term is 43. Find the sum of the first 20 terms of the sequence. A) 787. B) -787. C) 878. D) -878. Show Answer Correct Answer: C) 878. 46. Determine the 5th partial sum ( $S_5$ A) 134 469. B) 143. C) 1331. D) 891. Show Answer Correct Answer: C) 1331. 47. What is the fourth term of the sequence defined by u$_{1}$ = 3, u$_{n+1}$ = u$_{n}$-7 A) -1. B) -18. C) -10. D) -6. Show Answer Correct Answer: B) -18. 48. Find the sum of the infinite series $22+11+5.5+ ..... $ A) 50. B) Does not exist. C) 40. D) 44. Show Answer Correct Answer: D) 44. 49. Find the 20th term in the sequence, -3, -7, -11, -15, -19, ..... A) -75. B) -79. C) -83. D) -87. Show Answer Correct Answer: B) -79. 50. What do you call a sequence in which in which there is a common ratio between any consecutive terms? A) Geometric Sequence. B) Geometric Series. C) Arithmetic Series. D) Arithmetic Sequence. Show Answer Correct Answer: A) Geometric Sequence. 51. What are the next 2 terms:12.7, 19.2, 25.7, 32.2 ..... A) 38.7 and 45.2. B) 38.4 and 44.6. C) 37.7 and 42.2. D) None of the above. Show Answer Correct Answer: A) 38.7 and 45.2. 52. What is the common ratio of this sequence?{2, 10, 50, 250, ..... } A) 1, 250. B) 10. C) 5. D) 50. Show Answer Correct Answer: C) 5. 53. Write the first 6 terms of the sequence:a$_{n}$ =-2n-5 A) -9, -11, -13, -15, -17, -19. B) -7, -12, -17, -22, -27, -32. C) -5, -7, -9, -11, -13, -15. D) -7, -9, -11, -13, -15, -17. Show Answer Correct Answer: D) -7, -9, -11, -13, -15, -17. 54. Evaluate the series below. $\sum_{k=0}^{\infty}\frac{2}{3}\left(\frac{1}{\left(8\right)}\right)^k$ A) $\frac{3}{8}$. B) $\frac{16}{21}$. C) $\frac{8}{3}$. D) $\frac{21}{16}$. Show Answer Correct Answer: B) $\frac{16}{21}$. 55. Formula for a Finite Geometric Series? A) S = (Xk+1-X1)/(r+1). B) S = (Xk+1+X1)/(r-1). C) S = (Xk+1-X1)/(r-1). D) No idea. Show Answer Correct Answer: C) S = (Xk+1-X1)/(r-1). 56. A beach towel loses 2 mg with each wash-and-dry cycle. The product 4(-2) represents change in the mass after 4 wash-and-dry cycles. A) 8. B) -8. C) 2. D) 6. Show Answer Correct Answer: B) -8. 57. Arithmetic sequences involve A) Multiplication and division. B) Multiplication and addition. C) Addition and subtraction. D) Subtraction and division. Show Answer Correct Answer: C) Addition and subtraction. 58. What is the geometric mean between-3 and-27? A) $\pm12$. B) $\pm6$. C) $\pm9$. D) $\pm3$. Show Answer Correct Answer: C) $\pm9$. 59. In a GP the 3rd term is 24 and the 6th term is 192. The 10th term is A) 3074. B) 3068. C) 3070. D) 3072. Show Answer Correct Answer: D) 3072. 60. A bathroom floor has tiles arranged in 9 circles. The innermost circle contains 9 tiles. Each successive circle contains 9 more tiles than the previous circle. How many total tiles are on the bathroom floor? A) 396. B) 405. C) 81. D) 729. Show Answer Correct Answer: B) 405. ← PreviousNext →Related QuizzesScience QuizzesClass 11 QuizzesClass 11 Mathematics Chapter 9 Sequences And Series Quiz 1Class 11 Mathematics Chapter 9 Sequences And Series Quiz 2Class 11 Mathematics Chapter 9 Sequences And Series Quiz 3Class 11 Mathematics Chapter 9 Sequences And Series Quiz 4Class 11 Mathematics Chapter 9 Sequences And Series Quiz 5Class 11 Mathematics Chapter 9 Sequences And Series Quiz 6Class 11 Mathematics Chapter 9 Sequences And Series Quiz 7Class 11 Mathematics Chapter 9 Sequences And Series Quiz 9 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books