This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 12 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 12 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Write a recursive rule for the sequence-10, -3, 4, 11, ..... A) A$_{n }$= a$_{n-1}$-8. B) A$_{n }$= a$_{n-1}$ + 7. C) A$_{n }$= a$_{n-1}$ + 8. D) A$_{n }$= a$_{n-1}$-7. Show Answer Correct Answer: B) A$_{n }$= a$_{n-1}$ + 7. 2. What is the sum of the first TEN terms of the geometric series with r = 3 and first term 0.5? A) 14000. B) 147. C) 546.5. D) 14762. Show Answer Correct Answer: D) 14762. 3. What kind of sequence is the pattern 400, 200, 100, 50, 25, ..... ? A) Arithmetic. B) Geometric. C) Neither. D) None of the above. Show Answer Correct Answer: B) Geometric. 4. When the 1st differences are constant, the given values have a ..... relationship. A) Quadratic. B) Exponential. C) Linear. D) Linaer. Show Answer Correct Answer: C) Linear. 5. Write the explicit formula for the sequence. 216, 72, 24, 8, ..... A) $a_n=216\cdot3^{\left(n-1\right)}$. B) $a_n=8\cdot3^{\left(n-1\right)}$. C) $a_n=216\cdot\left(\frac{1}{3}\right)^{\left(n-1\right)}$. D) $a_n=216-144\left(n-1\right)$. Show Answer Correct Answer: C) $a_n=216\cdot\left(\frac{1}{3}\right)^{\left(n-1\right)}$. 6. Find the next 3 terms in this geometric sequence 5, -10, 20, -40 A) -80, 160, -320. B) 80, -160, 320. C) -160, 320, -640. D) 160, -320, 640. Show Answer Correct Answer: B) 80, -160, 320. 7. $t\left(n\right)=4n+10$ A) 80. B) 20. C) 100. D) 90. Show Answer Correct Answer: D) 90. 8. For the equation 6 + 8 + 10 + + (4 + 2n) = n(n + 5), which statement assumes that S$_{n}$ is valid for n = k? A) 6 + 8 + 10 + + (6 + 2k) = (k + 1)(k + 6). B) 6 + 8 + 10 + + (8 + 2k) = (k + 1)(k + 6). C) 6 + 8 + 10 + + (4 + 2k) = k(k + 5). D) 6 + 8 + 10 + + (6 + 2k) = k(k + 5). Show Answer Correct Answer: C) 6 + 8 + 10 + + (4 + 2k) = k(k + 5). 9. A bank account has $ 250 and earns 3.5% interest each year. How much money is in the account after 12 years? A) $ 844805. B) $ 163.03. C) $ 377.77. D) $ 10, 500. Show Answer Correct Answer: C) $ 377.77. 10. In an arithmetic sequence if a$_{15}$ =108 and d=7, find a$_{1}$. A) 14. B) 206. C) 10. D) 101. Show Answer Correct Answer: C) 10. 11. $\lim_{n\rightarrow\infty}\\frac{2^{n+1}+7}{5^{n-1}+3}$ A) 0. B) 1. C) $\frac{1}{5}$. D) $\frac{2}{5}$. Show Answer Correct Answer: A) 0. 12. Is 133 a possible term in the following sequence?40, 43, 46, ..... A) Yes! It is the 32nd term. B) No. When I solve, n is a decimal. C) Yes! It is the 30th term. D) None of the above. Show Answer Correct Answer: A) Yes! It is the 32nd term. 13. There are 130 students in grade one, 210 students in grade two and 290 students in grade three in Masipag Elementary School, and so on in an arithmetic sequence. What's the total amount of students in grade 6? A) 450. B) 370. C) 610. D) 530. Show Answer Correct Answer: D) 530. 14. Find the sum of all the multiples of 6 between 1 to 100. A) 816. B) 832. C) 848. D) 800. Show Answer Correct Answer: A) 816. 15. The number of seats in each row of a concert hall follows the sequence below:t(n) = 14 + 2(n-1)How many seats are in the first 20 rows? A) 52. B) 660. C) 780. D) 18. Show Answer Correct Answer: B) 660. 16. Given the sequence 81, 27, 9, 3, ..... find the 9th term A) 0.012345679. B) 0.034567. C) 1234. D) 5678. Show Answer Correct Answer: A) 0.012345679. 17. What is the degree of the expression 2x$^{2}$-5? A) 3. B) 5. C) 1. D) 2. Show Answer Correct Answer: D) 2. 18. The first term in a geometric sequence is-4 and the common ratio is 2. What is the 10th term? A) 2048. B) -1024. C) 1024. D) -2048. Show Answer Correct Answer: D) -2048. 19. Describe the sequence, find the 5th term, and write the rule.1, 5, 25, 125 ..... A) Geometric, a$_{5}$ = 625, a$_{n}$ = 5$^{n-1}$. B) Geometric, a$_{5}$ = 3125, a$_{n}$ = 5$^{n}$. C) Arithmetic, a$_{5}$ = 625, a$_{n}$ = 5$^{n}$. D) Arithmetic, a$_{5}$ = 3125, a$_{n}$ = 5$^{n-1}$. Show Answer Correct Answer: A) Geometric, a$_{5}$ = 625, a$_{n}$ = 5$^{n-1}$. 20. List the first five terms of the geometric sequence. Assume that the sequence begins at n = 1. $T_n=3^{n-1}$ A) 1, 3, 9, 27, 81. B) 1, 3, 6, 9, 12. C) 0, 3, 9, 27, 81. D) 3, 9, 27, 81, 243. E) 0, 1, 3, 9, 27. Show Answer Correct Answer: A) 1, 3, 9, 27, 81. 21. Find the first term of the given sequence:a$_{14}$=72d=4 A) 22. B) 20. C) 24. D) 40. Show Answer Correct Answer: B) 20. 22. From an arithmetic series it is known that U3 = 13 and U7 = 29. The total of twenty-five terms The first in the series is ..... A) 3250. B) 1325. C) 1225. D) None of the above. Show Answer Correct Answer: B) 1325. 23. Calculate the interest earned on an investment of $ 20 000 over a period of 15 years if interested was calculated at 5.5% p.a compounded monthly. A) $ 25 551.68. B) $ 45 551.68. C) $ 44 649.53. D) $ 24 649.53. Show Answer Correct Answer: A) $ 25 551.68. 24. How many terms are in the geometric sequence2, 6, 18, ..... , 1458 A) N = 6. B) N = 486. C) N = 7. D) N = 5. Show Answer Correct Answer: C) N = 7. 25. $\frac{11!}{8!}$ A) 990. B) 11/8. C) 110. D) 11, 880. E) 7920. Show Answer Correct Answer: A) 990. 26. If you have a geometric sequence with, t$_{4}$ =-8 and t$_{9}$ = 1944, find t$_{5. }$ A) 24. B) -72. C) -24. D) 72. Show Answer Correct Answer: A) 24. 27. Evaluate the infinite geometric series:1 + 1/5 + 1/25 + ..... A) 65/27. B) 9/5. C) 5/4. D) 5/6. Show Answer Correct Answer: C) 5/4. 28. Which of the following algebraic expressions best describes the nth term of the arithmetic sequence?-1, 3, 7, 11, ..... A) 4n + 5. B) 4n-1. C) 5n-4. D) 4n-5. Show Answer Correct Answer: D) 4n-5. 29. 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 150. 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 225. Show Answer Correct Answer: D) The sum of the first 15 terms of the arithmetic series is 225. 30. Find the 12th term of the arithmetic sequences 5, 11, 17, 23, ..... A) -70. B) 70. C) -71. D) 71. Show Answer Correct Answer: D) 71. 31. 3, -4, -11What is $A_0$ A) 17. B) -7. C) 24. D) -18. Show Answer Correct Answer: C) 24. 32. An arithmetic sequence has t$_{15}$=160 and a common difference of-15. Find t$_{40}$. A) 370. B) -215. C) 535. D) -170. Show Answer Correct Answer: B) -215. 33. Find the sum if it exists. $\sum_{n=1}^{\infty}\left(8\left(\frac{1}{5}\right)^{n-1}\right)$ A) Does not exist. B) 8. C) 8/5. D) 10. Show Answer Correct Answer: D) 10. 34. $\sum_{m=1}^4\left(8k-6m\right)=$ A) 0 + 2 + 4 + 6. B) 8k-6 + 8k-12 + 8k-18 + 8k-24. C) 8-6m + 16-6m + 24-6m + 32-6m. D) 2 + 4 + 6 + 8. Show Answer Correct Answer: B) 8k-6 + 8k-12 + 8k-18 + 8k-24. 35. Determine whether the sequence could be geometric or arithmetic:6, 10, 15, 21, ..... A) Arithmetic with d = 4. B) Geometric with r = 4. C) Neither. D) Geometric with r = 5/3. Show Answer Correct Answer: C) Neither. 36. The first three terms of the sequence given by $t_n=11\left(\frac{1}{4}\right)^{n-1}$ A) 11, 121, 1331. B) $\frac{11}{4}, \\frac{11}{16}, \\frac{11}{64}$. C) $11, \\frac{11}{3}, \\frac{11}{9}$. D) $11, \\frac{11}{4}, \\frac{11}{16}$. Show Answer Correct Answer: D) $11, \\frac{11}{4}, \\frac{11}{16}$. 37. 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) 0.25 or-0.25. B) 2 or-2. C) 0.5 or-0.5. D) 4 or-4. Show Answer Correct Answer: C) 0.5 or-0.5. 38. 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) 1.25. C) 10. D) 2.5. Show Answer Correct Answer: D) 2.5. 39. Find a$_{12}$ in the sequence-1, -3, -9, -27, ..... A) -59, 049. B) -177, 147. C) -19, 683. D) 118, 098. Show Answer Correct Answer: B) -177, 147. 40. Find the 9th term in the following geometric sequence:4, 8, 16, 32, ..... A) 384. B) 768. C) 1, 024. D) 512. Show Answer Correct Answer: C) 1, 024. 41. 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) 440 posters. B) 452 posters. C) 448 posters. D) 476 posters. Show Answer Correct Answer: C) 448 posters. 42. Find the sum:90 + 60 + 40 + ..... A) 180. B) 135. C) Infinity. D) 270. Show Answer Correct Answer: D) 270. 43. 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. 44. 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. 45. The sequence 28, 34, 40, 46, 52, ..... , 88 has 11 terms. Find the sum of the 11 terms. A) 610. B) 288. C) 550. D) 638. Show Answer Correct Answer: D) 638. 46. What is the fourth term of the sequence defined by a$_{1}$ = 3, a$_{n}$ = n + a$_{n-1}$-7 A) -10. B) -1. C) -9. D) -6. Show Answer Correct Answer: C) -9. 47. Find the first term of the given sequence:t$_{14}$=68d=3 A) 20. B) 14. C) 26. D) 29. Show Answer Correct Answer: D) 29. 48. $\sum_{k=1}^3\left(\frac{1}{k^2+3}\right)$ A) 12/11. B) 10/21. C) 37/60. D) 1/12. E) 1. Show Answer Correct Answer: B) 10/21. 49. The next term of the given sequence 1, 5, 14, 30, 55, ..... is A) 80. B) 91. C) 90. D) 96. Show Answer Correct Answer: B) 91. 50. $\left|r\right|\ge1$ A) Decreasing Sequence. B) Periodic Sequence. C) Increasing Sequence. D) Convergent Series. E) Divergent Series. Show Answer Correct Answer: E) Divergent Series. 51. Which of the following is an example of a geometric sequence? A) 1, 2, 4, 8. B) 1, 2, 3, 4. C) 3, 5, 7, 9. D) 9, 20, 21, 28. Show Answer Correct Answer: A) 1, 2, 4, 8. 52. 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) 4. D) 6. Show Answer Correct Answer: C) 4. 53. Find 26th term in the arithmetic sequence:-15, -35, -55, -75, ..... A) -515. B) 460. C) -535. D) -490. Show Answer Correct Answer: A) -515. 54. What is the 11th term of the geometric sequence?-2, 10, -50, 250, ..... A) 45. B) -19, 531, 250. C) 1, 596, 323. D) -14, 348, 907. Show Answer Correct Answer: B) -19, 531, 250. 55. Given the rule:a$_{n}$ = 7(1/2)$^{n-1}$Identify the first term. A) N. B) A$_{n}$. C) 7. D) 1/2. Show Answer Correct Answer: C) 7. 56. 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) 84. B) 66. C) 100. D) 78. Show Answer Correct Answer: D) 78. 57. 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. 58. 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. 59. 144, 864, ..... Find the next 3 terms A) 256, -1024, 4096. B) 5184, 31104, 196624. C) 256, 1024, 4096. D) 1024, 4096, 16384. Show Answer Correct Answer: B) 5184, 31104, 196624. 60. Determine the sum of the infinite geometric series $11+\frac{11}{3}+\frac{11}{9}+\frac{11}{27}+ ..... $ A) $\frac{33}{2}$. B) $\frac{33}{4}$. C) $\frac{440}{27}$. D) 33. Show Answer Correct Answer: A) $\frac{33}{2}$. ← PreviousNext →Related QuizzesScience QuizzesClass 11 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 8 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books