This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 40 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 40 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What does a$_{1}$ represent? A) Any term. B) First term. C) Last term. D) None of the above. Show Answer Correct Answer: B) First term. 2. In a geometric sequence, the 4th term is-12 and the 5th term is-24. Find the common ratio. A) 2. B) -2. C) $\frac{1}{2}$. D) $-\frac{1}{2}$. Show Answer Correct Answer: A) 2. 3. Given:$a_1=2$ $a_n=-5a_{n-1}+2$ $a_3$ A) -8. B) -208. C) 2. D) 42. Show Answer Correct Answer: D) 42. 4. Write the EXPLICIT rule for the arithmetic sequence-10, -3, 4, 11, ..... A) A$_{n }$= 10n + 17. B) A$_{n}$ = 7n-17. C) A$_{n}$ =-7n + 17. D) A$_{n}$ = 7n + 3. Show Answer Correct Answer: B) A$_{n}$ = 7n-17. 5. Find $S_{12}$ A) $S_{12}=$. B) $S_{12}=$. C) $S_n=$. D) $S_n=$. Show Answer Correct Answer: C) $S_n=$. 6. Let a$_{n}$ be the nth term of an arithmetic sequence. If a$_{10}$ = 33 and a$_{15}$ = 18, which of the following is/are true?I. The common difference is-3.II. 63 is a term of the sequence.III. The sequence has 21 non-negative terms. A) I only. B) II only. C) I and III only. D) II and III only. Show Answer Correct Answer: C) I and III only. 7. What is the common difference in the sequence:-4, 3, 10, 17, , ..... ? A) $7$. B) 7 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $7$. 8. What is the 5$^{th}$ term of the sequence with the formula a$_{n}$ = (-2)$^{n}$-2$^{n }$? A) 0. B) 32. C) -32. D) -64. Show Answer Correct Answer: D) -64. 9. Find the geometric mean between 16 and 4 A) 8 or-8. B) 12 or-12. C) 6 or-6. D) 8 or 10. Show Answer Correct Answer: A) 8 or-8. 10. Evaluate the geometric series below:4-16 + 64-256 ..... , S9 A) 223444. B) 230679. C) 204516. D) 209716. Show Answer Correct Answer: D) 209716. 11. In a geometric sequence, if a1 = 2 and r = 3, what is the value of a4? A) 24. B) 12. C) 6. D) 54. Show Answer Correct Answer: D) 54. 12. Find the sum of the first 4 terms of the geometric series 1 + 0.5 + 0.25 +? A) 1.875. B) 0.125. C) 1.75. D) None of these. Show Answer Correct Answer: A) 1.875. 13. What is the formula to find the sum of the first n terms of an arithmetic sequence? A) S = (n/2)(2a + (n-1)d). B) S = (n/2)(2a + d). C) S = n(2a + (n-1)d). D) S = (n/2)(a + (n-1)d). Show Answer Correct Answer: A) S = (n/2)(2a + (n-1)d). 14. The first term of a G.P is 1. The sum of the 3rd and 5th terms is 90. Then the common ratio is: A) 1. B) 2. C) 3. D) 4. Show Answer Correct Answer: C) 3. 15. What is the 20th term if the general term of an arithmetic sequence is given by $a_n=15+5n$ A) 190. B) 115. C) 95. D) 15. Show Answer Correct Answer: B) 115. 16. What is the common ratio in this geometric sequence? A) 1/2. B) 2. C) 12. D) 24. Show Answer Correct Answer: A) 1/2. 17. Given a$_{1}$=5 and a$_{2}$=11, write the explicit arithmetic formula and solve for a$_{15}$ A) 95. B) 89. C) 81. D) 159. Show Answer Correct Answer: B) 89. 18. Find the sum of the series $\sum_{n=1}^42\left(2\right)^n$ A) 58. B) 60. C) 62. D) 124. Show Answer Correct Answer: B) 60. 19. Find the sum:3 + 3.3 + 3.6 + 3.9 + 4.2 + ..... + 63 A) 6633. B) 6600. C) 6666. D) None of the above. Show Answer Correct Answer: A) 6633. 20. Which of the following set is closed set? A) [1, 2). B) Set of natural numbers. C) A finite set. D) (1, 2]. Show Answer Correct Answer: C) A finite set. 21. Find the sum of the arithmetic sequence:3, 7, 11, 15, 19, 23, 27 A) 120. B) 90. C) 50. D) 105. Show Answer Correct Answer: A) 120. 22. Write the equation for the arithmetic sequence with the following terms:a$_{14}$ =-36, a$_{22}$ =-52 A) A =-2n-8. B) A =-8n-2. C) A =-8n-10. D) A =-2n-10. Show Answer Correct Answer: A) A =-2n-8. 23. $\sum_{k=4}^9\left(\frac{2}{k+1}\right)$ A) 0.2000. B) 3.8579. C) 5.8579. D) 1.4913. E) 1.6913. Show Answer Correct Answer: E) 1.6913. 24. Find the equation for the geometric sequence with the following terms:a$_{2}$ =-12, a$_{5}$ =-96 A) A$_{n}$ = 2(-6)$^{n}$. B) A$_{n}$ = 2(-6)$^{n-1}$. C) A$_{n}$ =-6(2)$^{n-1}$. D) A$_{n}$ =-6(2)$^{n}$. Show Answer Correct Answer: C) A$_{n}$ =-6(2)$^{n-1}$. 25. Is this sequence arithmetic, geometric, or neither?1, 2, 6, 24, 120, ..... A) Arithmetic. B) Geometric. C) Neither. D) None of the above. Show Answer Correct Answer: C) Neither. ← 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