This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 17 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 17 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Given the recursive formula, find the explicit forma$_{n}$ = a$_{n-1}$ + 5a$_{1}$ =-16 A) A$_{n}$ = 5 + (n-1)(-16). B) A$_{n}$ =-11 + (n-1)(5). C) A$_{n}$ = 16 + (n-1)(5). D) A$_{n}$ =-16 + (n-1)(5). Show Answer Correct Answer: D) A$_{n}$ =-16 + (n-1)(5). 2. Evaluate the geometric series A) 195, 312. B) -65, 104. C) 292, 969. D) -130, 208. Show Answer Correct Answer: A) 195, 312. 3. Find the sum:4 + 4.8 + 5.76 + 6.912 + ..... A) 20. B) 24. C) Infinity. D) None of the above. Show Answer Correct Answer: C) Infinity. 4. The second and Fifth terms of a geometric series are 750 and-6 respectively, find the first term (a$_{1}$)? A) 3750. B) -3750. C) 2750. D) -2750. Show Answer Correct Answer: B) -3750. 5. Find the sum.24+48+72+ ..... +480*Hint:Find out what term number 480 is first. Then find the sum.* A) 5280. B) 9576. C) 10080. D) 5040. Show Answer Correct Answer: D) 5040. 6. Find S$_{9}$4, -16, 64, -256 ..... A) 223444. B) 230679. C) 204516. D) 209716. Show Answer Correct Answer: D) 209716. 7. Find the pattern:-34, -29, -24, -19, ..... A) -5. B) +5. C) -6. D) +6. Show Answer Correct Answer: B) +5. 8. Find the explicit formula for the given geometric sequence and then solve for $a_{10}$ $\left\{-4, -12, -36, -108, \ ..... \right\}$ A) $-78732$. B) $-48401$. C) $-3524$. D) $-181$. Show Answer Correct Answer: A) $-78732$. 9. The first day a Instagram video is out it gets 20 views. The number of views triples every day for the rest of the week. How many views does the video get? A) 10, 430. B) 12, 750. C) 17, 990. D) 21860. Show Answer Correct Answer: D) 21860. 10. Find the 11th term of the sequence: A) 10240. B) 5120. C) 20480. D) 2560. Show Answer Correct Answer: A) 10240. 11. If you use Pascal's triangle to expand the binomial (x + y)$^{4}$, which row of coefficients do you use? A) 1 3 6 3 1. B) 1 4 6 4 1. C) 1 2 3 2 1. D) 1 5 10 5 1. Show Answer Correct Answer: B) 1 4 6 4 1. 12. What is the explicit form of the following equation?a$_{n}$ = a$_{n-1}$-3; a$_{1}$ = 4 A) 3 (4)$^{n-1}$. B) 4 (-3)$^{n-1}$. C) 4-3(n-1). D) 4 + 3(n-1). Show Answer Correct Answer: C) 4-3(n-1). 13. What kind of sequence is illustrated below?400, 200, 100, 50, 25, ..... A) Arithmetic, d = 1/2. B) Geometric, r = 1/2. C) Neither. D) None of the above. Show Answer Correct Answer: B) Geometric, r = 1/2. 14. Find the first term of a sequence given the following:a$_{14 }$= 68 and d = 3 A) 14. B) 20. C) 26. D) 29. Show Answer Correct Answer: D) 29. 15. The nth term of a G.P is 128 and the sum of its n terms is 225. If its common ratio is 2, then its first term is A) 1. B) 3. C) 8. D) None of these. Show Answer Correct Answer: A) 1. 16. Find the sum of the infinite geometric series, if it exists. A) 8. B) 8/5. C) 10. D) Does not exist. Show Answer Correct Answer: C) 10. 17. $\left|r\right|<1$ A) Increasing Sequence. B) Decreasing Sequence. C) Periodic Sequence. D) Divergent Series. E) Convergent Series. Show Answer Correct Answer: E) Convergent Series. 18. Which of the given formulas for the general term of the sequence-9, -1, 7, 15, 23, ..... is correct? A) $t_n=-8n-17$. B) $t_n=8n-17$. C) $t_n=8n-1$. D) $t_n=-8n-1$. Show Answer Correct Answer: B) $t_n=8n-17$. 19. COnvert to sigma notation-4 + 8-16 +32-64 + ..... + 2048 A) $\sum_{n=1}^{10}2\left(-2\right)^n$. B) $\sum_{n=1}^92\left(-2\right)^n$. C) $\sum_{n=1}^{10}4\left(-2\right)^n$. D) $\sum_{n=1}^94\left(-2\right)^n$. Show Answer Correct Answer: A) $\sum_{n=1}^{10}2\left(-2\right)^n$. 20. Expand:$\sum_{k=3}^6\left(2k-1\right)$ A) 4, 6, 8, 10. B) 4, 6, 8. C) 5, 7, 9, 11. D) 5, 7, 9. Show Answer Correct Answer: C) 5, 7, 9, 11. 21. All series have a sum. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 22. What is the general term of the sequence whose first term is $\frac{25}{4}$ $\frac{-3}{4}$ A) $a_n=\frac{-3n}{4}+7$. B) $a_n=\frac{3n}{4}-7$. C) $a_n=\frac{25}{4}-3n$. D) $a_n=\frac{-3n-25}{4}$. Show Answer Correct Answer: A) $a_n=\frac{-3n}{4}+7$. 23. Which recursive formula best describes the sequence2, -6, 18, -54 ..... A) A$_{n=}$a$_{n-1}$*-4, a$_{1 }$= 2. B) A$_{n=}$a$_{n-1}$*-8, a$_{1 }$=2. C) A$_{n=}$a$_{n-1}$* 2, a$_{1 }$=-3. D) A$_{n=}$a$_{n-1}$*-3, a$_{1 }$=2. Show Answer Correct Answer: D) A$_{n=}$a$_{n-1}$*-3, a$_{1 }$=2. 24. What are the next three terms of the sequence:2, 4, 8 A) 10, 12, 14. B) 16, 32, 64. C) 4, 2, 1. D) 8, 16, 32. Show Answer Correct Answer: B) 16, 32, 64. 25. What is the common ratio of the geometric sequence below?5, 25, 125, 625 ..... A) 25. B) 20. C) 5. D) 4. Show Answer Correct Answer: C) 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