This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 30 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 30 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The next term of the given sequence 1, 5, 14, 30, 55, ..... is A) 80. B) 90. C) 91. D) 96. Show Answer Correct Answer: C) 91. 2. $\left|r\right|\ge1$ A) Increasing Sequence. B) Decreasing Sequence. C) Periodic Sequence. D) Divergent Series. E) Convergent Series. Show Answer Correct Answer: D) Divergent Series. 3. Which of the following is an example of a geometric sequence? A) 1, 2, 3, 4. B) 1, 2, 4, 8. C) 3, 5, 7, 9. D) 9, 20, 21, 28. Show Answer Correct Answer: B) 1, 2, 4, 8. 4. What is the common difference of an arithmetic sequence whose 6th term is 13 and whose 22th term is 77? A) 10. B) 8. C) 6. D) 4. Show Answer Correct Answer: D) 4. 5. Find 26th term in the arithmetic sequence:-15, -35, -55, -75, ..... A) -515. B) -490. C) -535. D) 460. Show Answer Correct Answer: A) -515. 6. What is the 11th term of the geometric sequence?-2, 10, -50, 250, ..... A) -14, 348, 907. B) -19, 531, 250. C) 1, 596, 323. D) 45. Show Answer Correct Answer: B) -19, 531, 250. 7. Given the rule:a$_{n}$ = 7(1/2)$^{n-1}$Identify the first term. A) A$_{n}$. B) 7. C) 1/2. D) N. Show Answer Correct Answer: B) 7. 8. A Greek 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 25$^{th }$row in the center section? A) 66. B) 78. C) 100. D) 84. Show Answer Correct Answer: B) 78. 9. Consider the geometric sequence 6, 24, 96, 384, ..... Choose True or False for each statement.The recursive rule is f (1) = 4; f (n) = f (n-1) 6. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 10. The sum of a geometric series where t$_{1}$=1/3, r = 2, and n = 3 is approximately A) 2.3. B) 1.3. C) 2.7. D) 1.2. Show Answer Correct Answer: A) 2.3. 11. 144, 864, ..... Find the next 3 terms A) 1024, 4096, 16384. B) 256, -1024, 4096. C) 256, 1024, 4096. D) 5184, 31104, 196624. Show Answer Correct Answer: D) 5184, 31104, 196624. 12. Determine the sum of the infinite geometric series $11+\frac{11}{3}+\frac{11}{9}+\frac{11}{27}+ ..... $ A) 33. B) $\frac{33}{4}$. C) $\frac{33}{2}$. D) $\frac{440}{27}$. Show Answer Correct Answer: C) $\frac{33}{2}$. 13. If p, q be two A.M's and G be one G.M between two numbers, then $G^2$ A) $\left(2p-q\right)\left(p-2q\right)$. B) $\left(2p-q\right)\left(2q-p\right)$. C) $\left(2p-q\right)\left(p+2q\right)$. D) None of these. Show Answer Correct Answer: B) $\left(2p-q\right)\left(2q-p\right)$. 14. Write the rule for the nth term of the sequence.-7, -4, -1, 2 ..... A) A$_{n}$ =-10n + 3. B) A$_{n}$ =-3n-10. C) A$_{n}$ =-10n-3. D) A$_{n}$ = 3n-10. Show Answer Correct Answer: D) A$_{n}$ = 3n-10. 15. A series is a summed list of numbers following some pattern. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 16. Which of the following sequences of numbers is a geometric sequence? A) 5, 25, 125, 625, . B) 5, 25, 45, 65, . C) All the above. D) None of the above. Show Answer Correct Answer: A) 5, 25, 125, 625, . 17. Identify the common difference in the given arithmetic sequence. A) 5. B) 10. C) 15. D) 20. Show Answer Correct Answer: B) 10. 18. If four numbers in AP are such that their sum is 50 and the greatest number is 4 times the least, then the numbers are A) 5, 10, 15, 20. B) 4, 10, 16, 22. C) 3, 7, 11, 15. D) None of these. Show Answer Correct Answer: A) 5, 10, 15, 20. 19. The 3rd term of G.P is 4. Then the product of the first 5 terms is: A) 4$^{3}$. B) 4$^{4}$. C) 4$^{5}$. D) None of these. Show Answer Correct Answer: C) 4$^{5}$. 20. Find the next three terms in the arithmetic sequence:9, 19, 29, 39, ..... A) 45, 54, 63. B) 49, 59, 69. C) 39, 49, 59. D) 59, 69, 79. Show Answer Correct Answer: B) 49, 59, 69. 21. Find the next three terms in the arithmetic sequence:25, 34, 43, 52, ..... A) 63, 72, 81. B) 79, 88, 97. C) 70, 79, 88. D) 61, 70, 79. Show Answer Correct Answer: D) 61, 70, 79. 22. 15, 19 ..... Write the explicit equation that models the sequence. HINT:It is an arithmetic Sequence A) T(n)= 4n+7. B) T(n) = 4n+3. C) T(n) = 7n +4. D) T(n) = 3n +4. Show Answer Correct Answer: B) T(n) = 4n+3. 23. Write the recursive formula of 13, 9, 5 ..... Given a$_{1}$=13 A) A$_{n}$=a$_{n-1}$-4. B) A$_{n}$=a$_{n-1}$+3. C) A$_{n}$=a$_{n-1}$-5. D) A$_{n}$=a$_{n-1}$+4. Show Answer Correct Answer: A) A$_{n}$=a$_{n-1}$-4. 24. What is the sum of the series below? $\sum_{k=1}^{\infty}6\left(-2\right)^{\left(k-1\right)}$ A) 2. B) -12. C) 105, 400. D) No sum exists. Show Answer Correct Answer: D) No sum exists. 25. Find the sum of the first 50 numbers in this sequence: A) 635.5. B) 625. C) 625.5. D) 637.5. Show Answer Correct Answer: D) 637.5. ← 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