This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 3 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 3 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the 9$^{th}$ term in a geometric sequence with a common ratio of 2 and a first term of 3? A) 768. B) 384. C) 27. D) 1, 536. Show Answer Correct Answer: A) 768. 2. The sum of first 'n' terms of an AP is (3n$^{2 }$+ 6n). The common difference of the AP is ..... A) 9. B) -3. C) 6. D) 15. Show Answer Correct Answer: C) 6. 3. Find the 8th term of the sequence:a$_{n}$ = 2(5)$^{n-1}$ A) 80. B) 16. C) 10000000. D) 156250. Show Answer Correct Answer: D) 156250. 4. Which term of the arithmetic sequence 2, 5, 8, ..... , is 110? A) 37. B) 36. C) 39. D) 38. Show Answer Correct Answer: A) 37. 5. An auditorium has 20 seats on the first row, 24 seats on the second row, 28 seats on the third row, and so on and has 30 rows of seats. How many seats are in the last row? A) Arithmetic. B) Geometric. C) Neither. D) None of the above. Show Answer Correct Answer: A) Arithmetic. 6. Find the sum of the infinite geometric series. $\sum_{n=0}^{\infty}4\left(-\frac{3}{4}\right)^n$ A) $\frac{16}{7}$. B) $-\frac{16}{7}$. C) $-\frac{4}{7}$. D) $\frac{4}{7}$. Show Answer Correct Answer: A) $\frac{16}{7}$. 7. What is the next term in the sequence 1, 4, 9, 16, 25, ..... ? A) 39. B) 36. C) 41. D) 34. Show Answer Correct Answer: B) 36. 8. Solve for the first term of the geometric sequence ..... , 36, 216, 1296, 7776, 46656. A) 4. B) 6. C) 2. D) 8. Show Answer Correct Answer: B) 6. 9. Find the sum:100 + 40 + 16 + 6.4 + ..... A) Infinity. B) 164.96. C) 166.67. D) 250. Show Answer Correct Answer: C) 166.67. 10. If 6 + 8 + 10 + + (4 + 2n) = n(n + 5), which statement verifies that S$_{n}$ is valid for n = 1? A) 6 = 1(1 + 5); 6 = 6. B) 6 + 8 = 2(2 + 5); 14 = 14. C) 6 + 8 + 10 = 3(3 + 5); 24 = 24. D) 6 + 8 + 10 + 12 = 4(4 + 5); 36 = 36. Show Answer Correct Answer: A) 6 = 1(1 + 5); 6 = 6. 11. The harmonic series $\sum_{ }^{ }\frac{1}{n^p}$ $p\le1$ $p\ge1$ A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 12. Is this sequence Arithmetic, Geometric, or Neither?{2, 9, 7, 14, 12, 19, ..... } A) Arithmetic. B) Geometric. C) Neither. D) None of the above. Show Answer Correct Answer: C) Neither. 13. A website starts with 120 users. The expect to gain 20% every year. What is the explicit rule for this growth? A) $a_n=20\left(120\right)^{\left(n-1\right)}$. B) $a_n=120\left(20\right)^{\left(n-1\right)}$. C) $a_n=120\left(0.20\right)^{\left(n-1\right)}$. D) $a_n=120\left(1.20\right)^{\left(n-1\right)}$. Show Answer Correct Answer: D) $a_n=120\left(1.20\right)^{\left(n-1\right)}$. 14. Find t(n) for the given series:t(1) =22d =-8n = 21 A) -1218. B) -2436. C) 1911. D) -1449. Show Answer Correct Answer: A) -1218. 15. What is the 5th term of the geometric sequence:2, 6, 18, 54, ..... ? A) 108. B) 36. C) 81. D) 162. Show Answer Correct Answer: D) 162. 16. Add the terms of the geometric sequence:7, 21, 63, 189, 567, 1701, 5103. A) 6751. B) 6000. C) 7000. D) 7651. Show Answer Correct Answer: D) 7651. 17. If the sum of the first n terms of a geometric sequence is 32-2$^{5-n}$, then the 5th term is A) 4. B) 32. C) 1. D) 16. Show Answer Correct Answer: C) 1. 18. Find the rule for this geometric sequence:r = 3 a$_{3}$ =-12 A) A$_{n}$ = (-4/3) (3)$^{n-1}$. B) A$_{n}$ =-4 (3)$^{n-1}$. C) A$_{n}$ = (-3/4) (3) $^{n-1}$. D) None of the above. Show Answer Correct Answer: A) A$_{n}$ = (-4/3) (3)$^{n-1}$. 19. What would the second term be? f(n) = 3$^{n}$ + 3 A) 3. B) 12. C) 30. D) 9. Show Answer Correct Answer: B) 12. 20. Find a$_{1 for the geometric series }$S$_{n = 1020, }$a$_{n = 4, r = 1/2}$ A) 51/65. B) 68/91. C) 28/96. D) 85/96. Show Answer Correct Answer: B) 68/91. 21. Find a$_{9}$ in the sequence 4, 8, 16, 32, ..... A) 384. B) 768. C) 512. D) 1, 024. Show Answer Correct Answer: D) 1, 024. 22. What is the sum of the infinite geometric series $15+15\left(\frac{8}{9}\right)+15\left(\frac{8}{9}\right)^2+15\left(\frac{8}{9}\right)^3+ ..... $ A) -120. B) $\frac{135}{8}$. C) 135. D) $\frac{135}{17}$. Show Answer Correct Answer: C) 135. 23. Find the 9th term of the geometric sequence:3, -6, 12, -24, ..... A) 768. B) 1536. C) 796. D) 786. Show Answer Correct Answer: A) 768. 24. If a, b, c are in G.P and x, y are A.M's between a, b and b, c respectively, then A) $\frac{1}{x}+\frac{1}{y}=\frac{2}{b}$. B) $\frac{1}{x}+\frac{1}{y}=2$. C) $\frac{1}{x}+\frac{1}{y}=\frac{1}{2}$. D) $\frac{1}{x}+\frac{1}{y}=\frac{2}{a}$. Show Answer Correct Answer: A) $\frac{1}{x}+\frac{1}{y}=\frac{2}{b}$. 25. Which term is 12, 288 in the sequence given by:3, 6, 12, 24, ..... A) 13. B) 14. C) 11. D) 12. Show Answer Correct Answer: A) 13. 26. A fitness club opens with 80 members. Each month the membership increases by 15 members. If the total fitness club membership is 200 people, how many months has the club been opened? A) 6. B) 105. C) 8. D) 18. Show Answer Correct Answer: C) 8. 27. Given the sequence:125, 25, 5, ..... Write the rule a$_{n}$ using the geometric sequence formula: A) A$_{n}$ = 625(5)$^{(n-1)}$. B) A$_{n}$ = (125)(1/5)$^{(n-1)}$. C) A$_{n}$ = 625(1/5)$^{(n-1)}$. D) A$_{n}$ = 125 + 5n. Show Answer Correct Answer: B) A$_{n}$ = (125)(1/5)$^{(n-1)}$. 28. Alex earns $ 20, 000 salary in the first year of his career. Each year, he gets a $ 1200 raise. How much does Alex earn in the first four years of his career? A) $ 23, 600. B) $ 24, 800. C) $ 87, 200. D) $ 69, 200. Show Answer Correct Answer: C) $ 87, 200. 29. -4, -12, -36, -108, ..... Find the ratio A) R=-3. B) R=3. C) R=2. D) R=-2. Show Answer Correct Answer: B) R=3. 30. You invest money in the stock market. Your portfolio is currently worth $ 1500 but its value has been decreasing at a rate of 5.67% per year. What will the value of your portfolio be in 4 years? A) $ 2257.06. B) $ 2008.36. C) $ 836.74. D) $ 1187.66. Show Answer Correct Answer: D) $ 1187.66. 31. Find the 7th term of the geometric sequence:5, 10, 20, 40, ..... A) 30. B) 100. C) 80. D) 15. Show Answer Correct Answer: C) 80. 32. What is the value of the missing term in the geometric sequence: ..... , 15, 45, 135 A) 8. B) 6. C) 7. D) 5. Show Answer Correct Answer: D) 5. 33. What does r represent? A) Radical. B) Common difference. C) Common ratio. D) None of the above. Show Answer Correct Answer: C) Common ratio. 34. Does the sequence a$_{n}$ = ln(n+1)-ln(n) converge or diverge? A) Diverge. B) Converge and the limit is 0. C) Converge and the limit is 1. D) Converge and the limit is e. Show Answer Correct Answer: B) Converge and the limit is 0. 35. What is the sum of the first 4 terms in the sequence 2$^{n-1}$? A) 16. B) 13. C) 15. D) 14. Show Answer Correct Answer: C) 15. 36. The number of seats in each row of a concert hall follows the sequence below:a$_{n}$ = 16 + 2nWhich row has 38 seats? A) 15. B) 92. C) 12. D) 16. Show Answer Correct Answer: C) 12. 37. Sequences can be finite or infinite. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 38. If the general term of a sequence is $\frac{1}{3^n}$ A) $\frac{2}{3}$. B) $\frac{1}{3}$. C) $\frac{1}{2}$. D) 2. Show Answer Correct Answer: C) $\frac{1}{2}$. 39. Determine the first 3 terms of the following sequence.t$_{1}$=-3t$_{n}$=t$_{n-1}$(3) A) -3, 6, 9. B) -3, -9, -27. C) -3, 9, 27. D) -3, -6, -9. Show Answer Correct Answer: B) -3, -9, -27. 40. Which formula represents this sequence:2, 8, 14, ..... A) 6n-4. B) 3n + 2. C) 5n-2. D) 4n. Show Answer Correct Answer: A) 6n-4. 41. An arithmetic series is the sum of the terms in an arithmetic sequence. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 42. Write the formula for the following sequence.5, 8, 11, 14, ..... A) $a_n=3n+5$. B) $a_n=5\left(n-1\right)+3$. C) $a_n=5\cdot3^{\left(n-1\right)}$. D) $a_n=3\left(n-1\right)+5$. Show Answer Correct Answer: D) $a_n=3\left(n-1\right)+5$. 43. 7, 9 is an example of A) Arithmetic sequence. B) Harmonic sequence. C) Geometric sequence. D) Fibonacci sequence. Show Answer Correct Answer: A) Arithmetic sequence. 44. Evaluate the limit, or state that the limit does not exist 7xx$^{2}$ A) 0. B) DNE. C) I can't tell. It's a secret. D) 7. Show Answer Correct Answer: A) 0. 45. Each number in a sequence is called TERM A) False. B) Maybe. C) True. D) I don't know. Show Answer Correct Answer: C) True. 46. What 2 terms come next in the sequence? 15, 12, 9, 6 A) 3, 0. B) 6. 3, 0. C) 6, 3. D) 3, 6. Show Answer Correct Answer: A) 3, 0. 47. A list of numbers having a first number, a second number, a third number, and so on A) Number Sequence. B) Finite Sequence. C) Infinite Sequence. D) None of the Above. Show Answer Correct Answer: A) Number Sequence. 48. Which sequence is represented by the equation 2(7)$^{n-1}$? A) 7, 9, 11, 13 . B) 2, 9, 16, 23 . C) 2, 14, 98, 686 . D) 7, 14, 28, 56 . Show Answer Correct Answer: C) 2, 14, 98, 686 . 49. What is the 12th term in the sequence ..... 3n + 7 A) 36. B) 33. C) 43. D) 41. Show Answer Correct Answer: C) 43. 50. Find the 7th term of the arithmetic progressions $\frac{2}{3}, \frac{6}{5}, \frac{26}{15}, ..... $ A) 58/15. B) 50/15. C) -58/15. D) -50/15. Show Answer Correct Answer: A) 58/15. 51. Describe the sequence, find the 5th term, and write the rule. A) Geometric, a$_{5}$ = 3125, a$_{n}$ = 5$^{n}$. B) Geometric, a$_{5}$ = 625, a$_{n}$ = 5$^{n-1}$. C) Arithmetic, a$_{5}$ = 3125, a$_{n}$ = 5$^{n-1}$. D) Arithmetic, a$_{5}$ = 625, a$_{n}$ = 5$^{n}$. Show Answer Correct Answer: B) Geometric, a$_{5}$ = 625, a$_{n}$ = 5$^{n-1}$. 52. Write a rule for the arithmetic sequence give a$_{3 }$= 27 and a$_{5}$ = 45 A) A$_{n }$= 9n. B) A$_{n }$= + 273n. C) A$_{n }$= 5n. D) A$_{n }$= 3n. Show Answer Correct Answer: A) A$_{n }$= 9n. 53. Evaluate the limit, or state that the limit does not exist 6x$^{4 }$ 3x$^{2}$-2x A) 2. B) DNE. C) 0. D) Uhmmm, I don't know!. Show Answer Correct Answer: B) DNE. 54. Is the sequence 7, 9, 12, 16, ..... geometric? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 55. Find the sum of the series. $1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+ ..... $ A) 1. B) 2/3. C) 1/3. D) 1.5. Show Answer Correct Answer: D) 1.5. 56. What is the common difference of the sequence 2, -1, -4, -7, ..... ? A) 3. B) -2. C) -1. D) -3. Show Answer Correct Answer: D) -3. 57. Find the 8th term of the geometric progression-16, 8, -4, 2, ..... A) -1/8. B) 1/18. C) 1/8. D) -1/18. Show Answer Correct Answer: C) 1/8. 58. Find the sum of the geometric series7 + 14 + 28 + 56 + ..... + 7168. A) 14, 329. B) 14, 333. C) 14, 331. D) 14, 327. Show Answer Correct Answer: A) 14, 329. 59. Let $S_n$ $S_n\-\k\S_{n-1}+S_{n-2}$ A) 1. B) 2. C) 3. D) None of these. Show Answer Correct Answer: B) 2. 60. Find the sum of the infinite geometric series, if it exists:200-100 + 50-25 + A) Does not exist. B) 400/ 3. C) 3 / 400. D) None of the above. Show Answer Correct Answer: B) 400/ 3. ← 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 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 9 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books