This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 10 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 10 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Write the equation for the arithmetic sequence below.-15, -13, -11, -9, ..... Formula:$a_n=a_1+d\left(n-1\right)$ A) $a_n=2n-15$. B) $a_n=15n+2$. C) $a_n=2n-17$. D) $a_n=-2n-17$. Show Answer Correct Answer: C) $a_n=2n-17$. 2. For a certain arithmetic sequence, $d=4$ $a_{30}=57.$ A) $a_n=-63+4n$. B) $a_n=-59-4n$. C) $a_n=-63-4n$. D) $a_n=-59+4n$. Show Answer Correct Answer: A) $a_n=-63+4n$. 3. Complete the sequence:1/4, 1/9, 1/16, 1/25, ..... , ..... A) 1/2 & 1/3. B) 1/36 & 1/49. C) 1/26 & 1/27. D) 1/35 & 1/45. Show Answer Correct Answer: B) 1/36 & 1/49. 4. -21, -16, -11, -6, ..... Is this sequence arithmetic, geometric, or neither? A) Arithmetic (common difference d = 5). B) Geometric (common ratio r = 5). C) Neither. D) None of the above. Show Answer Correct Answer: A) Arithmetic (common difference d = 5). 5. Which term of the arithmetic sequence 5, 9, 13, 17, ..... is 401? A) 111th term. B) 100th term. C) 99th term. D) 112 term. Show Answer Correct Answer: B) 100th term. 6. A geometric series whose first term is 3 and whose common ratio is 4 sums to 4095. The number of terms in this sum is A) 4. B) 8. C) 5. D) 6. Show Answer Correct Answer: D) 6. 7. Find the sum of the series:2 + (-2) + (-6) + (-10) ..... , S$_{10}$ A) -336. B) -160. C) -320. D) -328. Show Answer Correct Answer: B) -160. 8. Viola makes gift baskets for Valentine's Day. She has 13 baskets left over from last year (HINT:time =0) and she plans to make 12 more each day. If there are 15 work days until the day she begins to sell the baskets, how many baskets will she have to sell? A) 181. B) 217. C) 205. D) 193. Show Answer Correct Answer: D) 193. 9. $1-\frac{1}{5}+\frac{1}{25}-\frac{1}{125}+ ..... $ A) Convergent, 5/4. B) Convergent, 5/6. C) Divergent. D) None of the above. Show Answer Correct Answer: B) Convergent, 5/6. 10. Find the fifth term of the geometric sequence with a first term of 8 and a sum to infinity of 12. A) $T_5=\frac{8}{81}$. B) $T_5=-\frac{8}{81}$. C) $T_5=\frac{8}{80}$. D) $T_5=-\frac{8}{80}$. Show Answer Correct Answer: A) $T_5=\frac{8}{81}$. 11. What is the geometric mean between 2 and 18? A) 8. B) 12. C) 6. D) 10. Show Answer Correct Answer: C) 6. 12. The first four terms of a sequence are5, 11, 21, 35What are the next two terms? A) 45, 51. B) 41, 47. C) 49, 63. D) 53, 75. Show Answer Correct Answer: D) 53, 75. 13. If you have a arithmetic sequence with, t$_{2}$ = 1 and t$_{6}$ =-51, find t$_{10. }$ A) -103. B) -157. C) 157. D) 103. Show Answer Correct Answer: A) -103. 14. Using this explicit rule a$_{n = }$2n+5 find the first four terms in the sequence. A) 7, 9, 11, 13. B) 5, 7, 9, 11. C) 7, 5, 3, 1. D) 5, 3, 1, -1. Show Answer Correct Answer: A) 7, 9, 11, 13. 15. Find the number of terms in the series:1+4+7+10+ ..... +61 A) 20. B) 21. C) 22. D) 19. Show Answer Correct Answer: B) 21. 16. Find the n$^{th}$ term for the following quadratic sequence ..... 6, 11, 18, 27, 38 ..... A) 2n$^{2}$-2n + 3. B) N$^{2}$-2n-3. C) 2n$^{2}$ + n + 3. D) N$^{2}$ + 2n + 3. Show Answer Correct Answer: D) N$^{2}$ + 2n + 3. 17. A$_{1}$ * (1-(r)$^{n}$)S$_{n}$ = ..... 1-rWhat formula is this? A) Infinite Geometric Series Formula. B) Finite Geometric Series Formula. C) Finite Arithmetic Series Formula. D) Infinite Arithmetic Series Formula. Show Answer Correct Answer: B) Finite Geometric Series Formula. 18. What is NOT true about the following arithmetic sequence: A) The 7th term is 60. B) The 6th term is 60. C) The common difference is 7. D) The general rule is a(n) = 18 + 7n. Show Answer Correct Answer: A) The 7th term is 60. 19. What is the common difference:-2, -11, -20, -29 ..... A) -2. B) -9. C) Every Number. D) 9. Show Answer Correct Answer: B) -9. 20. What is $\sum_{k=1}^5\left(5k+2\right)$ A) 45. B) 85. C) 25. D) 65. Show Answer Correct Answer: B) 85. 21. What are the first 4 terms of an arithmetic sequence with a common difference of (-6) if the first term is 76? A) 76, 70, 64, 58. B) 70, 64, 58, 52. C) 76, 82, 88, 94. D) 82, 88, 94, 100. Show Answer Correct Answer: A) 76, 70, 64, 58. 22. The city theater has 30 seats in the first row of the center section. Each row behind the first row gains two additional seats. How many seats are in the 5th row in the center section? A) 44. B) 38. C) 40. D) 42. Show Answer Correct Answer: B) 38. 23. Which is the explicit formula for the given recursive formula? $a_1=-3$ $a_n=a_{n-1}+4$ A) $a_n=-7+4n$. B) $a_n=1+4n$. C) $a_n=7-4n$. D) $a_n=-n-4$. Show Answer Correct Answer: A) $a_n=-7+4n$. 24. Write the Series in Summative (Sigma) Notation:8 + 18 + 28 + ..... + 88 A) $\sigma$(5n + 3) from n=1 to 9. B) $\sigma$(7n + 5) from n=1 to 9. C) $\sigma$(10n-2) from n=1 to 9. D) $\sigma$(12n-4) from n=1 to 9. Show Answer Correct Answer: C) $\sigma$(10n-2) from n=1 to 9. 25. What is the explicit form of the equation a$_{n }$= a$_{n-1}$ + 2(n-1); a$_{1}$$_{}$ = 1? *Hint!-Use the formula to write a few terms of the sequence and see which explicit formula fits* A) 2n-1. B) 2n$^{2}$-2n-1. C) N$^{2}$-n + 1. D) N$^{2}$-2n + 2. Show Answer Correct Answer: C) N$^{2}$-n + 1. 26. Find the common ratio geometric sequence:16, 8, 4, 2, ..... A) R = 2. B) R = 1/4. C) R = 8. D) R = 1/2. Show Answer Correct Answer: D) R = 1/2. 27. Find the sum of the arithmetic series using a formula. The first 42 terms of the series whose terms are a$_{n}$=10-5n A) -4090. B) -3895. C) -4095. D) None of the above. Show Answer Correct Answer: C) -4095. 28. Find the common ratio:4, -16, 64, -256, ..... A) R = 2. B) R =-4. C) R = 4. D) R =-2. Show Answer Correct Answer: B) R =-4. 29. In a performance hall, chairs are arranged with the front row consisting of 12 chairs, the second row contains 14 seats, the third row contains 16 seats, and so on. The number of seats on the 20th row is ..... A) 50. B) 70. C) 55. D) None of the above. Show Answer Correct Answer: A) 50. 30. Evaluate the infinite geometric series:3-2 + 4/3-8/9 + ..... A) 9/5. B) 65/27. C) 5/6. D) 5/4. Show Answer Correct Answer: A) 9/5. 31. Ahmed wants to buy a house. He invests $ 165 000 for 5 years. Interest is calculated at 6% p.a. compounded quarterly. How much money will Ahmed have in his account after the 5 years? A) $ 220 807.22. B) $ 221 115.78. C) $ 222 231.08. D) $ 222 312.92. Show Answer Correct Answer: C) $ 222 231.08. 32. The 4th term in the sequence given by:a$_{1}$ = 6a =$_{}$ 4$_{}$a$_{n-1}$ + n A) 332. B) 426. C) 432. D) None of the above. Show Answer Correct Answer: C) 432. 33. The next term of the series 4, 16, 64 is A) 120. B) 150. C) 256. D) 132. Show Answer Correct Answer: C) 256. 34. The constant r in a geometric sequence is called the ..... A) Common Difference. B) Common Rule. C) Common Ratio. D) Common Sum. Show Answer Correct Answer: C) Common Ratio. 35. As shown in the table, the monthly rent of an apartment depends on the number of bedrooms. If the pattern is extended, which of these is the likely cost of a 4-bedroom apartment?1 Bedroom =$ 550 2 Bedrooms = $ 625 3 Bedrooms = $ 700 A) $ 725. B) $ 750. C) $ 715. D) $ 775. Show Answer Correct Answer: D) $ 775. 36. Find the 7th term of the geometric progression2, $\frac{2}{3}$ $\frac{2}{9}$ $\frac{2}{27}$ A) $\frac{2}{729}$. B) $\frac{2}{1458}$. C) $\frac{2}{4374}$. D) $\frac{2}{2187}$. Show Answer Correct Answer: A) $\frac{2}{729}$. 37. What is the 8th term in the geometric sequence below? A) 19, 683. B) 729. C) 6, 561. D) 2, 187. Show Answer Correct Answer: C) 6, 561. 38. Find the sum of the first 718 terms for the series2 + 4 + 6 + ..... + 1436 A) 321, 704. B) 1, 797. C) 116, 236. D) 516, 242. Show Answer Correct Answer: D) 516, 242. 39. The reciprocals of the terms of a given GP forms A) AP. B) GP. C) HP. D) None of these. Show Answer Correct Answer: B) GP. 40. Find the first four terms of the sequence.a$_{n}$= 3(4)$^{n}$ A) 3, 12, 48, 192. B) 12, 24, 36, 48. C) 12, 48, 192, 768. D) 12, 144, 1728, 20736. Show Answer Correct Answer: C) 12, 48, 192, 768. 41. The first row of a lecture hall has 20 seats and each row after the first has two more seats than the row before it. There are 30 rows of seats. Find the total number of seats in the lecture hall. A) 1074. B) 1470. C) 1047. D) 1740. Show Answer Correct Answer: B) 1470. 42. Let a, b and c be positive integers. If a + c = 2b, which of the following must be a geometric sequence/geometric sequences?I. 7$^{a}$, 7$^{b}$, 7$^{c}$II. 7$^{a + 1}$, 7$^{b + 1}$, 7$^{c + 1}$III. a$^{7}$, b$^{7}$, c$^{7}$ A) I and II only. B) I and III only. C) II and III only. D) I, II and III. Show Answer Correct Answer: A) I and II only. 43. Find the seventh term of a geometric sequence where the third is 18 and the common ratio is 3. A) 486. B) 4374. C) 162. D) 1458. Show Answer Correct Answer: D) 1458. 44. Determine the common ratio in the geometric sequence:81, 27, 9, 3, ..... A) 2. B) 1/3. C) 3. D) 5. Show Answer Correct Answer: B) 1/3. 45. Which fraction is equivalent to the repeating decimal0.383838383 ..... A) $^{38}$/$_{99}$. B) $^{383}$/$_{999}$. C) $^{3}$/$_{10}$. D) $^{3}$/$_{8}$. Show Answer Correct Answer: A) $^{38}$/$_{99}$. 46. Write an expression for the apparent nth term of the sequence.5, 8, 11, 14, 17 A) $a_n=3n+2$. B) $a_n=\left(-1\right)^n\left(3n+2\right)$. C) $a_n=2n+3$. D) $a_n=3^n+2$. E) $a_n=3n$. Show Answer Correct Answer: A) $a_n=3n+2$. 47. Use Pascal's triangle or the Binomial Theorem to expand (3x-y)$^{4}$. A) X$^{4}$ + 9x$^{3}$y + 6x$^{2}$y$^{2}$ + 3xy$^{3}$ + y$^{4}$. B) 81x$^{4}$ + 108x$^{3}$y + 54x$^{2}$y$^{2}$ + 12xy$^{3}$ + y$^{4}$. C) 81x$^{4}$-108x$^{3}$y + 54x$^{2}$y$^{2}$-12xy$^{3}$ + y$^{4}$. D) X$^{4}$-9x$^{3}$y + 6x$^{2}$y$^{2}$-3xy$^{3}$ + y$^{4}$. Show Answer Correct Answer: C) 81x$^{4}$-108x$^{3}$y + 54x$^{2}$y$^{2}$-12xy$^{3}$ + y$^{4}$. 48. 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 long would you be running each day in week 3? A) 30 minutes. B) 24 minutes. C) 20 minutes. D) 36 minutes. Show Answer Correct Answer: B) 24 minutes. 49. If a, b, c are in arithmetic progression, then A) B$^{2}$ = a+c. B) 2b = a+c. C) B = a+c. D) 2b$^{2}$ = a+c. Show Answer Correct Answer: B) 2b = a+c. 50. Which kind of sequence has a common ratio? A) Arithmetic. B) Geometric. C) All the above. D) None of the above. Show Answer Correct Answer: B) Geometric. 51. Which of the following is true about all arithmetic sequences ..... A) They can only be written using a recursive definition. B) There is a common ratio between consecutive terms. C) There is a common difference between consecutive terms. D) The final term is always zero. Show Answer Correct Answer: C) There is a common difference between consecutive terms. 52. An arithmetic series equals 624. The first term of this series is 3, and the second term is 5. What is the last term in this series? A) 51. B) 50. C) 49. D) 52. Show Answer Correct Answer: C) 49. 53. Find the common difference:1, 201, 401, 601, ..... A) D = 201. B) D = 101. C) D = 200. D) D = 100. Show Answer Correct Answer: C) D = 200. 54. Which of the following situation is NOT an example of geometric sequence? A) A ball is dropped from a building at a point 20 meters high and bounces 50% of its original height in every bounce. B) In a warehouse, the logs are stacked in such a way that there is one log more than the row immediately above it. C) The cost of a house and lot appreciates by 3.5% every year. D) The number of ants in the colony doubles every week. Show Answer Correct Answer: B) In a warehouse, the logs are stacked in such a way that there is one log more than the row immediately above it. 55. I can complete this number pattern:1, 2, ..... , 4 by A) Adding 2 more. B) Taking 1 less. C) Adding 1 more. D) None of the above. Show Answer Correct Answer: C) Adding 1 more. 56. What is the 10th term of this sequence? 2, 4, 6, 8 ..... A) 22. B) 16. C) 20. D) 18. Show Answer Correct Answer: C) 20. 57. $\left(32\right)\left(32\right)^{\frac{1}{6}}\left(32\right)^{\frac{1}{36}} ..... \infty$ A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 58. Determine if the sequence is arithmetic or not.-16, 4, 25, 44, ..... A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 59. Identify the explicit formula for the given sequence. $\left\{-4, -12, -36, -108, \ ..... \right\}$ A) $a_n=-4\cdot3^{\left(n-1\right)}$. B) $a_n=3\cdot-4^{\left(n-1\right)}$. C) $a_n=3\left(n-1\right)-4$. D) $a_n=-4\left(n-1\right)+3$. Show Answer Correct Answer: A) $a_n=-4\cdot3^{\left(n-1\right)}$. 60. Which of the following is an arithmetic sequence? A) 2, 7, 12, 17. B) 1, 1, 2, 3, 5. C) 2, 3, 5, 8. D) 2, 4, 8, 16. Show Answer Correct Answer: A) 2, 7, 12, 17. ← 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 8 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books