This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 13 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 13 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. If p, q be two A.M's and G be one G.M between two numbers, then $G^2$ A) $\left(2p-q\right)\left(p-2q\right)$. B) $\left(2p-q\right)\left(2q-p\right)$. C) $\left(2p-q\right)\left(p+2q\right)$. D) None of these. Show Answer Correct Answer: B) $\left(2p-q\right)\left(2q-p\right)$. 2. Write the rule for the nth term of the sequence.-7, -4, -1, 2 ..... A) A$_{n}$ =-10n-3. B) A$_{n}$ =-3n-10. C) A$_{n}$ =-10n + 3. D) A$_{n}$ = 3n-10. Show Answer Correct Answer: D) A$_{n}$ = 3n-10. 3. A series is a summed list of numbers following some pattern. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 4. Which of the following sequences of numbers is a geometric sequence? A) 5, 25, 125, 625, . B) 5, 25, 45, 65, . C) All the above. D) None of the above. Show Answer Correct Answer: A) 5, 25, 125, 625, . 5. Identify the common difference in the given arithmetic sequence. A) 20. B) 5. C) 10. D) 15. Show Answer Correct Answer: C) 10. 6. If four numbers in AP are such that their sum is 50 and the greatest number is 4 times the least, then the numbers are A) 5, 10, 15, 20. B) 4, 10, 16, 22. C) 3, 7, 11, 15. D) None of these. Show Answer Correct Answer: A) 5, 10, 15, 20. 7. The 3rd term of G.P is 4. Then the product of the first 5 terms is: A) 4$^{3}$. B) 4$^{4}$. C) 4$^{5}$. D) None of these. Show Answer Correct Answer: C) 4$^{5}$. 8. Find the next three terms in the arithmetic sequence:9, 19, 29, 39, ..... A) 49, 59, 69. B) 59, 69, 79. C) 45, 54, 63. D) 39, 49, 59. Show Answer Correct Answer: A) 49, 59, 69. 9. Find the next three terms in the arithmetic sequence:25, 34, 43, 52, ..... A) 79, 88, 97. B) 70, 79, 88. C) 63, 72, 81. D) 61, 70, 79. Show Answer Correct Answer: D) 61, 70, 79. 10. 15, 19 ..... Write the explicit equation that models the sequence. HINT:It is an arithmetic Sequence A) T(n) = 7n +4. B) T(n) = 3n +4. C) T(n) = 4n+3. D) T(n)= 4n+7. Show Answer Correct Answer: C) T(n) = 4n+3. 11. Write the recursive formula of 13, 9, 5 ..... Given a$_{1}$=13 A) A$_{n}$=a$_{n-1}$+3. B) A$_{n}$=a$_{n-1}$+4. C) A$_{n}$=a$_{n-1}$-4. D) A$_{n}$=a$_{n-1}$-5. Show Answer Correct Answer: C) A$_{n}$=a$_{n-1}$-4. 12. What is the sum of the series below? $\sum_{k=1}^{\infty}6\left(-2\right)^{\left(k-1\right)}$ A) 105, 400. B) -12. C) 2. D) No sum exists. Show Answer Correct Answer: D) No sum exists. 13. Find the sum of the first 50 numbers in this sequence: A) 637.5. B) 625. C) 625.5. D) 635.5. Show Answer Correct Answer: A) 637.5. 14. What is the explicit formula for the sequence? 192, 48, 12, 3, ..... A) $a_n=3\left(4\right)^{n-1}$. B) $a_n=192\left(4\right)^{n-1}$. C) $a_n=192\left(\frac{1}{4}\right)^{n-1}$. D) $a_n=3\left(\frac{1}{4}\right)^{n-1}$. Show Answer Correct Answer: C) $a_n=192\left(\frac{1}{4}\right)^{n-1}$. 15. Find the sum of the first 8 terms of geometric progressions 3, 6, 12, 24, ..... A) -765. B) 756. C) -756. D) 765. Show Answer Correct Answer: D) 765. 16. Evaluate the sum:$\\\sum_{k=25}^{100}2k$ A) 9500. B) 4750. C) 5050. D) 300. Show Answer Correct Answer: A) 9500. 17. Find the first four terms of the sequence given the rule:a$_{n}$ = 4(5)$^{n-1}$ A) 4, 20, 100, 500. B) 4, 9, 14, 19. C) 20, 100, 500, 2500. D) 5, 20, 80, 320. Show Answer Correct Answer: A) 4, 20, 100, 500. 18. Does this recursive routine model growth or decay, and by what percent?U$_{1}$ = 10U$_{n+1}$ = $_{}$U$_{n}$*.75 A) Growth, 75%. B) Decay, 25%. C) Growth, 25%. D) Decay, 75%. Show Answer Correct Answer: B) Decay, 25%. 19. Let a$_{n}$ be the nth term of a geometric sequence. It is given that a$_{4}$ = 135 and a$_{7}$ = 3645. The sum of the first 10 terms of the sequence is A) 98 415. B) 147 620. C) 295 245. D) 295 240. Show Answer Correct Answer: B) 147 620. 20. Find the common ratio given:a$_{1}$ = 4 and a$_{4}$ = 256 A) 4. B) 8. C) 84. D) 64. Show Answer Correct Answer: A) 4. 21. Which formula would find the SUM of the first ten terms of the following sequence?3, 5, $\frac{25}{3}$ A) $a_n=3\left(5\right)^{10-1}$. B) $a_n=3\left(\frac{5}{3}\right)^{10-1}$. C) $S_n=\frac{3-3\left(\frac{5}{3}\right)^{10}}{1-\frac{5}{3}}$. D) $S_n=\frac{3-3\left(5\right)^{10}}{1-5}$. Show Answer Correct Answer: C) $S_n=\frac{3-3\left(\frac{5}{3}\right)^{10}}{1-\frac{5}{3}}$. 22. $\sum_{k=0}^{\infty}\left(\frac{3}{5}\right)^k$ A) Converges. B) Diverges. C) All the above. D) None of the above. Show Answer Correct Answer: A) Converges. 23. Use the first three terms of the exponential series and a calculator to approximate the value of e$^{1.85}$ to the nearest hundredth. A) 4.56. B) 6.36. C) 5.62. D) 2.85. Show Answer Correct Answer: A) 4.56. 24. Daniel's Print Shop purchased a new printer for $ 35, 000. Each year it depreciates at a rate of 5%. How much more will the printer be worth in year 3 than year 5 (**Hint:use subtraction!) A) $ 30, 008.13. B) $ 27, 082.33. C) $ 57, 090.46. D) $ 2, 925.80. Show Answer Correct Answer: D) $ 2, 925.80. 25. Given the formula for a geometric sequence find the common ratio. $a_n=-4\left(-2\right)^{n-1}$ A) -2. B) 4. C) 8. D) -4. Show Answer Correct Answer: A) -2. 26. In which sequence are the second and third terms determined by finding the square root of the previous term? A) 16, 4, 2. B) 8, 6, 4. C) 16, 8, 4. D) 64, 8, 2. Show Answer Correct Answer: A) 16, 4, 2. 27. Write the recursive rule for the arithmetic sequence-49, -35, -21, -7, ..... A) A$_{1}$=-49; a$_{n}$ = a$_{n-1}$ + 10. B) A$_{1}$=-49; a$_{n}$ = a$_{n-1}$-14. C) A$_{1}$=-49; a$_{n}$ = a$_{n-1}$ + 14. D) A$_{1}$=-7; a$_{n}$ = a$_{n-1}$ + 14. Show Answer Correct Answer: C) A$_{1}$=-49; a$_{n}$ = a$_{n-1}$ + 14. 28. If the sum of n terms of an AP is given by $S_n=2n^2+3n$ A) 3. B) 6. C) 4. D) 5. Show Answer Correct Answer: C) 4. 29. The sum of some terms of a G.P is 315 whose first term and the common ratio are 5 and 2, respectively. The number of terms are A) 5. B) 3. C) 4. D) 6. Show Answer Correct Answer: D) 6. 30. $t_1=7, \\r=3, \\t_7=?$ A) 5103. B) 5031. C) 1053. D) 3015. Show Answer Correct Answer: A) 5103. 31. What is the 18th term of the sequence-22, -21.2, -20.4, -19.6, -18.8, ..... ? A) -35.6. B) 0.8. C) -6.8. D) -8.4. Show Answer Correct Answer: D) -8.4. 32. What are the next 2 terms in the following pattern100, 77, 54, 31 ..... A) 18, -3. B) 5, -18. C) 8, -13. D) 15, -7. Show Answer Correct Answer: C) 8, -13. 33. What is the 76$^{th}$ term of the following arithmetic sequence? A) 476. B) 452. C) 76. D) 458. Show Answer Correct Answer: D) 458. 34. Which formula is used to find the recursive equation for geometric sequences? A) A$_{n}$ = a$_{1}$ + d(n-1). B) A$_{n}$ = a$_{n-1}$ + d. C) A$_{n}$ = a$_{n-1}$ * r. D) A$_{n}$ = a$_{1}$ * r$^{n-1}$. Show Answer Correct Answer: C) A$_{n}$ = a$_{n-1}$ * r. 35. Find a formula for a$_{n}$ for the arithmetic sequence. a$_{1}$ =-1, d =-7 A) A$_{n}$ =-1(-7)$^{n-1}$. B) A$_{n}$ =-1-8n. C) A$_{n}$ = 6-7n. D) A$_{n}$ =-7-(n-1). Show Answer Correct Answer: C) A$_{n}$ = 6-7n. 36. Find the sum:2 + 6 + 18 + 54 + ..... for the first 14 terms A) 4, 782, 968. B) 2, 391, 484. C) 1, 594, 323. D) None of the above. Show Answer Correct Answer: A) 4, 782, 968. 37. What is a$_{1}$ in the following sequence?-6, -14, -22, -30, ..... A) -14. B) -30. C) -6. D) -22. Show Answer Correct Answer: C) -6. 38. Find the third partial sum:$\sum_{n=1}^{\infty}4\left(-\frac{1}{2}\right)^n$ A) -3/2. B) -2. C) 3/2. D) 1/2. Show Answer Correct Answer: A) -3/2. 39. Write the equation for the n th term of the arithmetic sequence a5 =-12 d =-4 A) An = 4n-8. B) An =-4n + 8. C) An = 2n+8. D) An = 8n-4. Show Answer Correct Answer: B) An =-4n + 8. 40. What is the next term in the sequence:3, 9, 15, 21, ..... A) 33. B) 30. C) 27. D) 24. Show Answer Correct Answer: C) 27. 41. Find the sum of the series:2+4+6+8+ ..... +68 A) 2380. B) 1190. C) 1156. D) 1120. Show Answer Correct Answer: B) 1190. 42. Kelsey deposited $ 30 in a savings account earning 10% interest, compounded annually. To the nearest cent, how much interest will she earn in 3 years? A) $ 2.01. B) $ 5.75. C) $ 17.60. D) $ 9.93. Show Answer Correct Answer: D) $ 9.93. 43. Determine whether the given statement is true or false.The sequence-1, -2, -3, -4, ..... , -n, ..... is bounded above but not bounded below. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 44. Rewrite the series below in sigma notation:3+13+23+33+43 A) $\sum_{n=1}^5\left(10n+3\right)$. B) $\sum_{n=3}^{43}\left(n\right)$. C) $\sum_{n=1}^5\left(3n+10\right)$. D) $\sum_{n=1}^5\left(10n-7\right)$. Show Answer Correct Answer: D) $\sum_{n=1}^5\left(10n-7\right)$. 45. Find the explicit rule for an arithmetic sequence if the 6th term is-38 and the 14th term is-110 A) A$_{n}$=-9+7(n-1). B) A$_{n}$=7-9(n-1). C) A$_{n}$=9-83(n-1). D) A$_{n}$=-83+9(n-1). Show Answer Correct Answer: B) A$_{n}$=7-9(n-1). 46. If there are 10 seats in the first row in a theater and 13 seats in the second row and 16 seats in the third row, how many seats are in the 17th row? A) 58. B) 61. C) 48. D) None of the above. Show Answer Correct Answer: A) 58. 47. Find the sum of the 1st 20 terms of 3 +11 +19+ ..... A) 155. B) 1580. C) 1550. D) 1080. Show Answer Correct Answer: B) 1580. 48. What are the next 3 terms in the sequence 4, 8, 12, ..... , ..... , ..... A) 24, 48, 96. B) 14, 16, 18. C) 16, 20, 24. D) 16, 18, 20. Show Answer Correct Answer: C) 16, 20, 24. 49. Evaluate S$_{n}$:28 + 35 + 42 + 49 + ..... , n = 10(Hint:is this arithmetic or geometric?) A) 595. B) 2384. C) 1192. D) 1190. Show Answer Correct Answer: A) 595. 50. What are the first three terms of the sequence $a_n=n^2+3$ A) 4, 9, 16. B) 4, 12, 36. C) 4, 7, 12. D) 4, 8, 16. Show Answer Correct Answer: C) 4, 7, 12. 51. What kind of sequence? 400, 200, 100, 50, 25, ..... A) Arithmetic. B) Geometric. C) All the above. D) None of the above. Show Answer Correct Answer: B) Geometric. 52. Which of the following numbers occurs in the sequence-12, -8, -4, 0, 4, ..... ? A) -3. B) 15. C) 6. D) 24. Show Answer Correct Answer: D) 24. 53. Write an explicit formula for $a_n$ A) $a_n=45+\left(n-1\right)\left(-\frac{1}{3}\right)$. B) $a_n=45\left(-\frac{1}{3}\right)^{n-1}$. C) $a_n=45\left(-3\right)^{n-1}$. D) None of the above. Show Answer Correct Answer: B) $a_n=45\left(-\frac{1}{3}\right)^{n-1}$. 54. Find the 15th term of the arithmetic sequences-3, -8, -13, ..... A) 73. B) -73. C) 70. D) -70. Show Answer Correct Answer: B) -73. 55. Find the sum of the infinite geometric series, if it exists. $\sum_{n=1}^{\infty}20\left(\frac{1}{5}\right)^n$ A) 4. B) Divergent. C) 20. D) 5. Show Answer Correct Answer: D) 5. 56. The following is an arithmetic sequence:a$_{4}$ =-5.5 and a$_{9}$ =-18. FInd a$_{1}$ A) $2$. B) 2 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $2$. 57. Is the sequence-432, 72, -12, 2, ..... geometric? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 58. Find the explicit formula for the sequence:64, -32, 16, -8, ..... A) 64(1/2)$^{n-1}$. B) (32)$^{n-1}$. C) (-32)$^{n-1}$. D) 64(-1/2)$^{n-1}$. Show Answer Correct Answer: D) 64(-1/2)$^{n-1}$. 59. For a year, a young girl is given an allowance of 5 pennies the 1st week, 10 pennies the 2nd week, 15 pennies the 3rd week, and so on for an entire 52-week year. How much money will she have at the end of the year? A) $ 2.65. B) $ 67.60. C) $ 71.50. D) $ 68.90. Show Answer Correct Answer: C) $ 71.50. 60. Which of the following represents the value of $\sum_{i=0}^8256\left(\frac{3}{2}\right)^i$ A) 8, 956. B) 12, 610. C) 22, 341. D) 19, 171. Show Answer Correct Answer: D) 19, 171. ← 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