This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 29 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 29 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. If you have a geometric sequence with, t$_{4}$ =-8 and t$_{9}$ = 1944, find t$_{5. }$ A) 24. B) -72. C) 72. D) -24. Show Answer Correct Answer: A) 24. 2. Evaluate the infinite geometric series:1 + 1/5 + 1/25 + ..... A) 5/4. B) 9/5. C) 5/6. D) 65/27. Show Answer Correct Answer: A) 5/4. 3. Which of the following algebraic expressions best describes the nth term of the arithmetic sequence?-1, 3, 7, 11, ..... A) 5n-4. B) 4n-5. C) 4n + 5. D) 4n-1. Show Answer Correct Answer: B) 4n-5. 4. Find the sum of the first 15 terms of the arithmetic series:2, 5, 8, 11, ..... A) The sum of the first 15 terms of the arithmetic series is 225. B) The sum of the first 15 terms of the arithmetic series is 250. C) The sum of the first 15 terms of the arithmetic series is 200. D) The sum of the first 15 terms of the arithmetic series is 150. Show Answer Correct Answer: A) The sum of the first 15 terms of the arithmetic series is 225. 5. Find the 12th term of the arithmetic sequences 5, 11, 17, 23, ..... A) 70. B) 71. C) -71. D) -70. Show Answer Correct Answer: B) 71. 6. 3, -4, -11What is $A_0$ A) 24. B) 17. C) -18. D) -7. Show Answer Correct Answer: A) 24. 7. An arithmetic sequence has t$_{15}$=160 and a common difference of-15. Find t$_{40}$. A) 535. B) 370. C) -170. D) -215. Show Answer Correct Answer: D) -215. 8. Find the sum if it exists. $\sum_{n=1}^{\infty}\left(8\left(\frac{1}{5}\right)^{n-1}\right)$ A) 8. B) 8/5. C) 10. D) Does not exist. Show Answer Correct Answer: C) 10. 9. $\sum_{m=1}^4\left(8k-6m\right)=$ A) 8k-6 + 8k-12 + 8k-18 + 8k-24. B) 2 + 4 + 6 + 8. C) 8-6m + 16-6m + 24-6m + 32-6m. D) 0 + 2 + 4 + 6. Show Answer Correct Answer: A) 8k-6 + 8k-12 + 8k-18 + 8k-24. 10. Determine whether the sequence could be geometric or arithmetic:6, 10, 15, 21, ..... A) Geometric with r = 5/3. B) Arithmetic with d = 4. C) Geometric with r = 4. D) Neither. Show Answer Correct Answer: D) Neither. 11. The first three terms of the sequence given by $t_n=11\left(\frac{1}{4}\right)^{n-1}$ A) 11, 121, 1331. B) $11, \\frac{11}{4}, \\frac{11}{16}$. C) $\frac{11}{4}, \\frac{11}{16}, \\frac{11}{64}$. D) $11, \\frac{11}{3}, \\frac{11}{9}$. Show Answer Correct Answer: B) $11, \\frac{11}{4}, \\frac{11}{16}$. 12. The product of the 6th term and the 9th term of a geometric sequence is 3200 while the product of the 7th term and the 10th term of the sequence is 800. The common ratio of the sequence is A) 2 or-2. B) 4 or-4. C) 0.5 or-0.5. D) 0.25 or-0.25. Show Answer Correct Answer: C) 0.5 or-0.5. 13. The first term in a geometric sequence is 160 and the common ratio is 1/2. What is the 7th term given the equation a$_{n }$= a$_{1 }$(r)$^{n-1}$ A) 5. B) 2.5. C) 10. D) 1.25. Show Answer Correct Answer: B) 2.5. 14. Find a$_{12}$ in the sequence-1, -3, -9, -27, ..... A) -177, 147. B) -19, 683. C) -59, 049. D) 118, 098. Show Answer Correct Answer: A) -177, 147. 15. Find the 9th term in the following geometric sequence:4, 8, 16, 32, ..... A) 384. B) 512. C) 768. D) 1, 024. Show Answer Correct Answer: D) 1, 024. 16. Starting May 1, a new store will begin giving away 500 posters as a promotion. Each day, 4 posters will be given away.If the store is open 7 days a week, how many posters will the store have left when it opens for business on May 14? A) 476 posters. B) 452 posters. C) 448 posters. D) 440 posters. Show Answer Correct Answer: C) 448 posters. 17. Find the sum of the series described:2 + (-2) + (-6) + (-10) ..... , S$_{10}$ A) -160. B) -328. C) -320. D) -336. Show Answer Correct Answer: A) -160. 18. An infinite series exists for which of the following situations? A) An arithmetic series. B) A geometric series. C) A geometric series with | r | > 1. D) A geometric series with | r | < 1. Show Answer Correct Answer: D) A geometric series with | r | < 1. 19. Find the sum:90 + 60 + 40 + ..... A) 135. B) Infinity. C) 180. D) 270. Show Answer Correct Answer: D) 270. 20. Which of the following series converge to 2?I. $\sum_{n=1}^{\infty}\frac{2n}{n+3}$ $\sum_{n=1}^{\infty}\frac{-8}{\left(-3\right)^n}$ $\sum_{n=0}^{\infty}\frac{1}{2^n}$ A) I only. B) III only. C) I and III only. D) II and III only. Show Answer Correct Answer: D) II and III only. 21. Which of the following situations illustrates an arithmetic sequence? A) A ball is dropped from a building at a point 20 meters high and bounces 50% of its original height in every bounce. B) A culture of bacteria triples every four hours. C) A grandfather clock makes a sound as many times as the time or hour of the day. At 1:00 A.M once, at 2:00 A.M. it alarms twice and so on. D) Daises have 13, 21, 34, 55, or 89 petals?. Show Answer Correct Answer: C) A grandfather clock makes a sound as many times as the time or hour of the day. At 1:00 A.M once, at 2:00 A.M. it alarms twice and so on. 22. The sequence 28, 34, 40, 46, 52, ..... , 88 has 11 terms. Find the sum of the 11 terms. A) 550. B) 638. C) 610. D) 288. Show Answer Correct Answer: B) 638. 23. What is the fourth term of the sequence defined by a$_{1}$ = 3, a$_{n}$ = n + a$_{n-1}$-7 A) -1. B) -6. C) -9. D) -10. Show Answer Correct Answer: C) -9. 24. Find the first term of the given sequence:t$_{14}$=68d=3 A) 14. B) 20. C) 26. D) 29. Show Answer Correct Answer: D) 29. 25. $\sum_{k=1}^3\left(\frac{1}{k^2+3}\right)$ A) 12/11. B) 1. C) 10/21. D) 37/60. E) 1/12. Show Answer Correct Answer: C) 10/21. ← 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