This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 23 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 23 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. 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: C) $a_n=-63+4n$. 2. Complete the sequence:1/4, 1/9, 1/16, 1/25, ..... , ..... A) 1/26 & 1/27. B) 1/36 & 1/49. C) 1/35 & 1/45. D) 1/2 & 1/3. Show Answer Correct Answer: B) 1/36 & 1/49. 3. -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). 4. Which term of the arithmetic sequence 5, 9, 13, 17, ..... is 401? A) 99th term. B) 100th term. C) 111th term. D) 112 term. Show Answer Correct Answer: B) 100th term. 5. 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) 8. B) 5. C) 6. D) 4. Show Answer Correct Answer: C) 6. 6. Find the sum of the series:2 + (-2) + (-6) + (-10) ..... , S$_{10}$ A) -160. B) -328. C) -320. D) -336. Show Answer Correct Answer: A) -160. 7. 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) 193. C) 205. D) 217. Show Answer Correct Answer: B) 193. 8. $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. 9. Find the fifth term of the geometric sequence with a first term of 8 and a sum to infinity of 12. A) $T_5=\frac{8}{80}$. B) $T_5=\frac{8}{81}$. C) $T_5=-\frac{8}{81}$. D) $T_5=-\frac{8}{80}$. Show Answer Correct Answer: B) $T_5=\frac{8}{81}$. 10. What is the geometric mean between 2 and 18? A) 6. B) 8. C) 10. D) 12. Show Answer Correct Answer: A) 6. 11. The first four terms of a sequence are5, 11, 21, 35What are the next two terms? A) 41, 47. B) 53, 75. C) 49, 63. D) 45, 51. Show Answer Correct Answer: B) 53, 75. 12. If you have a arithmetic sequence with, t$_{2}$ = 1 and t$_{6}$ =-51, find t$_{10. }$ A) 103. B) -103. C) -157. D) 157. Show Answer Correct Answer: B) -103. 13. Using this explicit rule a$_{n = }$2n+5 find the first four terms in the sequence. A) 7, 9, 11, 13. B) 5, 7, 9, 11. C) 7, 5, 3, 1. D) 5, 3, 1, -1. Show Answer Correct Answer: A) 7, 9, 11, 13. 14. Find the number of terms in the series:1+4+7+10+ ..... +61 A) 19. B) 20. C) 21. D) 22. Show Answer Correct Answer: C) 21. 15. Find the n$^{th}$ term for the following quadratic sequence ..... 6, 11, 18, 27, 38 ..... A) N$^{2}$ + 2n + 3. B) 2n$^{2}$ + n + 3. C) N$^{2}$-2n-3. D) 2n$^{2}$-2n + 3. Show Answer Correct Answer: A) N$^{2}$ + 2n + 3. 16. Find the 22nd term of the arithmetic sequence:5, 8, 11, ..... A) 14. B) 68. C) 63. D) 71. Show Answer Correct Answer: B) 68. 17. A$_{1}$ * (1-(r)$^{n}$)S$_{n}$ = ..... 1-rWhat formula is this? A) Infinite Arithmetic Series Formula. B) Finite Geometric Series Formula. C) Finite Arithmetic Series Formula. D) Infinite Geometric Series Formula. Show Answer Correct Answer: B) Finite Geometric Series Formula. 18. What is NOT true about the following arithmetic sequence: A) The common difference is 7. B) The 7th term is 60. C) The 6th term is 60. D) The general rule is a(n) = 18 + 7n. Show Answer Correct Answer: B) The 7th term is 60. 19. What is the common difference:-2, -11, -20, -29 ..... A) Every Number. B) 9. C) -9. D) -2. Show Answer Correct Answer: C) -9. 20. What is $\sum_{k=1}^5\left(5k+2\right)$ A) 25. B) 45. C) 65. D) 85. Show Answer Correct Answer: D) 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) 76, 82, 88, 94. C) 70, 64, 58, 52. 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) 38. B) 40. C) 42. D) 44. Show Answer Correct Answer: A) 38. 23. Which is the explicit formula for the given recursive formula? $a_1=-3$ $a_n=a_{n-1}+4$ A) $a_n=1+4n$. B) $a_n=-7+4n$. C) $a_n=7-4n$. D) $a_n=-n-4$. Show Answer Correct Answer: B) $a_n=-7+4n$. 24. Write the Series in Summative (Sigma) Notation:8 + 18 + 28 + ..... + 88 A) $\sigma$(5n + 3) from n=1 to 9. B) $\sigma$(12n-4) from n=1 to 9. C) $\sigma$(10n-2) from n=1 to 9. D) $\sigma$(7n + 5) 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) N$^{2}$-n + 1. C) N$^{2}$-2n + 2. D) 2n$^{2}$-2n-1. Show Answer Correct Answer: B) N$^{2}$-n + 1. ← PreviousNext →Related 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 8Class 11 Mathematics Chapter 9 Sequences And Series Quiz 9Class 11 Mathematics Chapter 9 Sequences And Series Quiz 10 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books