This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 3 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 3 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. An arithmetic sequence is given below.16, 13, 10, 7, ..... Which is the general formula for the n$^{th}$ term T$_{n}$? A) T$_{n }$=-3n+19. B) T$_{n }$=-5n+13. C) T$_{n }$= 3n+13. D) T$_{n }$=-5n+20. Show Answer Correct Answer: A) T$_{n }$=-3n+19. 2. Find the explicit formula for:-30, 0, 30, 60 A) $a_n=30+\left(n-1\right)30$. B) $a_n=-30+\left(n-1\right)\left(-30\right)$. C) $a_n=-30+\left(n-1\right)30$. D) $a_n=30+\left(n-1\right)\left(-30\right)$. Show Answer Correct Answer: C) $a_n=-30+\left(n-1\right)30$. 3. Apply the formula for the sum of a finite geometric series to find the sum of the first 3 terms of the series $3, 9, 27, ..... $ A) 39. B) 40. C) 45. D) 48. Show Answer Correct Answer: A) 39. 4. Find the sum of the finite geometric sequence. Round to the nearest thousandth. $\sum_{i=0}^4500\left(1.06\right)^i$ A) 2818.546. B) 2318.546. C) 2232.553. D) 2187.308. Show Answer Correct Answer: A) 2818.546. 5. Write the first term(a1) and the common ratio(r) of this geometric sequence 1/11, 3/22, 9/44, 27/88, 81/176, ..... ? A) 1/2. B) 1/4. C) 3/2. D) 5/4. Show Answer Correct Answer: C) 3/2. 6. What are missing terms in this sequence?5, ..... , ..... , 26 A) 11, 20. B) 13, 23. C) 9, 29. D) 12, 19. Show Answer Correct Answer: D) 12, 19. 7. This type of series has a common ratio: A) Arithmetic. B) Geometric. C) Neither. D) None of the above. Show Answer Correct Answer: B) Geometric. 8. What is the 5th term of the sequence 7, 14, 28, ..... ? A) 72. B) 48. C) 56. D) 112. Show Answer Correct Answer: D) 112. 9. Given the recursive formula below, find the first five terms. a$_{1}$ = 3a$_{n}$ = a$_{n-1}$ + 2 A) 3, 5, 7, 9, 11. B) 5, 7, 9, 11, 13. C) 2, 4, 6, 8, 10. D) 3, 4, 5, 6, 7. Show Answer Correct Answer: A) 3, 5, 7, 9, 11. 10. A sequence is a function whose domain is the set of positive integers. It is also means an ordered list of numbers. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 11. What is the explicit rule for the sequence:11, 22, 44, 88 ..... A) A$_{n}$ = 2(11)$^{n-1}$. B) A$_{n}$ = 11x2. C) A$_{n}$ = 11(2)$^{n-1}$. D) None of the above. Show Answer Correct Answer: C) A$_{n}$ = 11(2)$^{n-1}$. 12. Write the explicit rule for the following sequence:3, 1, -1, -3, ..... A) A$_{n}$= 5-2(n-1). B) A$_{n}$=-2+5(n-1). C) A$_{n}$= 3-2(n-1). D) A$_{n}$= 3+2(n-1). Show Answer Correct Answer: C) A$_{n}$= 3-2(n-1). 13. Write the explicit rule for the arithmetic sequence12, 10, 8, 6, ..... A) A$_{n}$ = 12n-14. B) A$_{n }$= 2n-14. C) A$_{n }$=-2n + 14. D) A$_{n }$=-12n + 14. Show Answer Correct Answer: C) A$_{n }$=-2n + 14. 14. Evaluate the arithmetic series described:1 + 3 + 5 + 7 ..... , S$_{8}$ A) 116. B) 58. C) 64. D) 128. Show Answer Correct Answer: C) 64. 15. Find n for a series for which a$_{1}$=6, d = 2, and S$_{n}$= 50. A) 12. B) 8. C) 5. D) N is located as a subscript of S. Show Answer Correct Answer: C) 5. 16. Evaluate the arithmetic series described:14 + 23 + 32 + 41 ..... , n=11 A) 1296. B) 1298. C) 2604. D) 649. Show Answer Correct Answer: D) 649. 17. Find the first term in the arithmetic sequence for which a$_{77}$ =-13 and d =-1/2. A) 26. B) 25. C) 27. D) 28. Show Answer Correct Answer: B) 25. 18. What is the sum of the infinite geometric series $1-\frac{1}{4}+\frac{1}{16}-\frac{1}{64}+ ..... $ A) $\frac{4}{5}$. B) $\frac{5}{4}$. C) $\frac{3}{4}$. D) $\frac{4}{3}$. Show Answer Correct Answer: A) $\frac{4}{5}$. 19. $a_n=a_1r^{n-1}$ A) 8192. B) 32768. C) 2048. D) 512. Show Answer Correct Answer: A) 8192. 20. Find the 5th term of a geometric sequence 4, -8, 16, ..... ? A) 128. B) 124. C) 108. D) 64. Show Answer Correct Answer: D) 64. 21. What is the sum of the first 10 terms for the following geometric series:2-6+18-54+ ..... A) 59048. B) -29524. C) 524288. D) 3069. Show Answer Correct Answer: B) -29524. 22. Sam was 5 kilometers east of her home when she began driving farther east at 70 kilometers per hour.What kind of sequence is this? A) Arithmetic. B) Geometric. C) Neither. D) None of the above. Show Answer Correct Answer: A) Arithmetic. 23. Given a term in an arithmetic sequence and the common difference, find the first five terms. A) -8, -13, -18, -23, -28. B) -8, -3, 2, 7, 12. C) -6, -11, -16, -21, -26. D) -7, -12, -17, -22, -27. Show Answer Correct Answer: A) -8, -13, -18, -23, -28. 24. Does the sequence a$_{n}$ = 0.2 + (-3)$^{n}$ converge or diverge? A) Diverge. B) Converge and the limit is 0. C) Converge and the limit is 0.2. D) Converge and the limit is-3. Show Answer Correct Answer: A) Diverge. 25. $\sum_{i=1}^5\left(2i-2\right)$ A) 18. B) 12. C) 8. D) 20. E) 30. Show Answer Correct Answer: D) 20. ← 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 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 10Class 11 Mathematics Chapter 9 Sequences And Series Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books