This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 39 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 39 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Each year a school manages to only use 90% of the paper they used the previous year. In 2003 they used 700 000 sheets of paper. How many sheets of paper did the school use in 2004 & 2005? A) 610 000 & 520 000 sheets. B) 1.3 million & 2.52 million sheets. C) 630 000 & 567 000 sheets. D) 70 000 & 7000 sheets. Show Answer Correct Answer: C) 630 000 & 567 000 sheets. 2. Find the next two terms of the sequence 4, 12, 36, 108, ..... , ..... A) 216 and 648. B) 432 and 1, 296. C) 540 and 1, 080. D) 324 and 972. Show Answer Correct Answer: D) 324 and 972. 3. Which pattern follows the rule below?Rule:Start with 10 each term is 6 more than the previous term A) 10, 16, 22, 27, 34, 40, 46, 52. B) 10, 16, 22, 28, 33, 39, 45, 51. C) 10, 16, 22, 28, 34, 40, 46, 52. D) 10, 16, 21, 27, 33, 39, 45, 51. Show Answer Correct Answer: C) 10, 16, 22, 28, 34, 40, 46, 52. 4. The sum of the terms of a geometric sequence. A) Limits. B) Geometric Series. C) Converges. D) Diverges. Show Answer Correct Answer: B) Geometric Series. 5. Does the sequence a$_{n}$ = cos(n/2) converge or diverge? A) Diverge. B) Converge and the limit is 1/2. C) Converge and the limit is 1. D) Converge and the limit is 0. Show Answer Correct Answer: A) Diverge. 6. 27, -9, 3, -1 ..... For the geometric sequence, determine:a) the common ratio, b) the sixth term, A) R =-3b)-1/3. B) R =-1/3b) 1/3. C) R = 3b) 1/3. D) R =-1/3b)-1/9. Show Answer Correct Answer: D) R =-1/3b)-1/9. 7. Find the 32nd term of this sequence.9, 4, -1, -6, -11, ..... (Hint:Write your equation for the nth term first!) A) 81. B) -34. C) -146. D) -225. Show Answer Correct Answer: C) -146. 8. Is the following a geometric series 1, 2, 4, 8, 16, , , ? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 9. What type of series is 32 + 16 + 8 + 4 + 2 + 1 A) Finite Arithmetic. B) Finite Geometric. C) Infinite Arithmetic. D) Infinite Geometric. Show Answer Correct Answer: B) Finite Geometric. 10. Find S$_{14}$ 7, 2, -3, ..... A) -812. B) 119. C) -945. D) -357. Show Answer Correct Answer: D) -357. 11. The nth term of a sequence is $3n^2-3n+2$ A) 74. B) 38. C) 301. D) 20. Show Answer Correct Answer: D) 20. 12. What are the next values in the sequence?-2, 10, -50, 250 ..... A) -255, 260, -265, 270. B) 500, -1000, 5000, -10000. C) -500, 1000, -5000, 10000. D) -1250, 6250, -31250, 156250. Show Answer Correct Answer: D) -1250, 6250, -31250, 156250. 13. $\frac{1}{3\cdot2}+\frac{1}{4\cdot3}+ ..... +\frac{1}{8\cdot7}$ A) $\sum_{n=1}^6\frac{1}{\left(n+2\right)!}$. B) $\sum_{n=1}^6\frac{1}{\left(n+1\right)\left(n+2\right)}$. C) $\sum_{n=0}^5\frac{1}{\left(n+1\right)\left(n+2\right)}$. D) $\sum_{n=1}^4\frac{1}{\left(n+1\right)\left(n+2\right)}$. E) $\sum_{n=1}^6\frac{1}{n\left(n+1\right)}$. Show Answer Correct Answer: B) $\sum_{n=1}^6\frac{1}{\left(n+1\right)\left(n+2\right)}$. 14. If a, 4, b are in Arithmetic Progression; a, 2, b are in Geometric Progression; then a, 1, b are in A) A.P. B) G.P. C) H.P. D) None of these. Show Answer Correct Answer: C) H.P. 15. Find the sum:$\sum_{n=1}^7\left[\left(8n-5\right)\left(n-1\right)\right]$ A) $\infty$. B) 0. C) 794. D) 791. Show Answer Correct Answer: D) 791. 16. Identify the common difference in the given arithmetic sequence. 10, 20, 30, 40, ..... A) 5. B) 10. C) 15. D) 20. Show Answer Correct Answer: B) 10. 17. Find the sum of-4 + 1 + 6 + 11 + ..... + 91 A) 640. B) 320. C) 500. D) 870. Show Answer Correct Answer: D) 870. 18. Given the following:$a_1=-3, \d=2, \S_n=21$ A) 11. B) 9. C) 7. D) 5. Show Answer Correct Answer: C) 7. 19. Recursive formulas are mainly used for providing the ..... and the ..... in an arithmetic sequence. A) First termandlast term. B) First termandcommon difference. C) Previous termandfinal term. D) None of these. Show Answer Correct Answer: B) First termandcommon difference. 20. $\frac{10!}{9!}$ A) 900. B) 1. C) 9. D) 10. Show Answer Correct Answer: D) 10. 21. Evaluate each series described (n is the number of terms in the series):28 + 35 + 42 + 49 + ..... , n = 10 A) 2384. B) 595. C) 1192. D) 1190. Show Answer Correct Answer: B) 595. 22. Determine the 3rd term of the sequence.a$_{1}$=5 a$_{n}$= 2a$_{n-1 }$-1 A) 14. B) 13. C) 17. D) 16. Show Answer Correct Answer: C) 17. 23. What is the common ratio in the geometric sequence:3, 9, 27, 81, ..... ? A) 6. B) 12. C) 15. D) 3. Show Answer Correct Answer: D) 3. 24. Given the recursive formula, find the 500th term:a$_{n}$ = a$_{n-1}$-3 a$_{1}$ = 15 A) -1485. B) -22455. C) 1512. D) -1482. Show Answer Correct Answer: D) -1482. 25. Use the first three terms of the trigonometric series and a calculator to approximate the value of sin (pi/3) to four decimal places. A) 0.866. B) 1.2491. C) 0.8663. D) 0.8453. Show Answer Correct Answer: C) 0.8663. ← 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