This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 2 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 2 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the explicit rule for the sequence:11, 22, 44, 88 ..... A) A$_{n}$ = 2(11)$^{n-1}$. B) A$_{n}$ = 11x2. C) A$_{n}$ = 11(2)$^{n-1}$. D) None of the above. Show Answer Correct Answer: C) A$_{n}$ = 11(2)$^{n-1}$. 2. Write the explicit rule for the following sequence:3, 1, -1, -3, ..... A) A$_{n}$= 3+2(n-1). B) A$_{n}$= 3-2(n-1). C) A$_{n}$= 5-2(n-1). D) A$_{n}$=-2+5(n-1). Show Answer Correct Answer: B) A$_{n}$= 3-2(n-1). 3. Write the explicit rule for the arithmetic sequence12, 10, 8, 6, ..... A) A$_{n }$= 2n-14. B) A$_{n}$ = 12n-14. C) A$_{n }$=-2n + 14. D) A$_{n }$=-12n + 14. Show Answer Correct Answer: C) A$_{n }$=-2n + 14. 4. Evaluate the arithmetic series described:1 + 3 + 5 + 7 ..... , S$_{8}$ A) 64. B) 128. C) 58. D) 116. Show Answer Correct Answer: A) 64. 5. Find n for a series for which a$_{1}$=6, d = 2, and S$_{n}$= 50. A) N is located as a subscript of S. B) 12. C) 8. D) 5. Show Answer Correct Answer: D) 5. 6. Evaluate the arithmetic series described:14 + 23 + 32 + 41 ..... , n=11 A) 649. B) 2604. C) 1296. D) 1298. Show Answer Correct Answer: A) 649. 7. Find the first term in the arithmetic sequence for which a$_{77}$ =-13 and d =-1/2. A) 26. B) 28. C) 25. D) 27. Show Answer Correct Answer: C) 25. 8. What is the sum of the infinite geometric series $1-\frac{1}{4}+\frac{1}{16}-\frac{1}{64}+ ..... $ A) $\frac{5}{4}$. B) $\frac{4}{3}$. C) $\frac{3}{4}$. D) $\frac{4}{5}$. Show Answer Correct Answer: D) $\frac{4}{5}$. 9. $a_n=a_1r^{n-1}$ A) 2048. B) 512. C) 32768. D) 8192. Show Answer Correct Answer: D) 8192. 10. Find the 5th term of a geometric sequence 4, -8, 16, ..... ? A) 108. B) 124. C) 128. D) 64. Show Answer Correct Answer: D) 64. 11. What is the sum of the first 10 terms for the following geometric series:2-6+18-54+ ..... A) -29524. B) 3069. C) 524288. D) 59048. Show Answer Correct Answer: A) -29524. 12. Sam was 5 kilometers east of her home when she began driving farther east at 70 kilometers per hour.What kind of sequence is this? A) Arithmetic. B) Geometric. C) Neither. D) None of the above. Show Answer Correct Answer: A) Arithmetic. 13. Given a term in an arithmetic sequence and the common difference, find the first five terms. A) -6, -11, -16, -21, -26. B) -8, -13, -18, -23, -28. C) -7, -12, -17, -22, -27. D) -8, -3, 2, 7, 12. Show Answer Correct Answer: B) -8, -13, -18, -23, -28. 14. Does the sequence a$_{n}$ = 0.2 + (-3)$^{n}$ converge or diverge? A) Diverge. B) Converge and the limit is 0. C) Converge and the limit is 0.2. D) Converge and the limit is-3. Show Answer Correct Answer: A) Diverge. 15. $\sum_{i=1}^5\left(2i-2\right)$ A) 18. B) 20. C) 8. D) 12. E) 30. Show Answer Correct Answer: B) 20. 16. You are sitting in row 23 and notice there are 65 seats in your row. The row in front of you has 63 seats and the row behind you has 67 seats. There are 42 rows in the auditorium. How many seats does the auditorium contain? (Hint:Find the number of seats in the first and last rows) A) 2, 803. B) 2, 163. C) 2, 604. D) 2, 422. Show Answer Correct Answer: C) 2, 604. 17. A sequence of numbers where each term after the first is found by multiplying the previous one by a common ratio. A) Common Law. B) Geometric Sequence. C) Geometric Mean. D) Common Ratio. Show Answer Correct Answer: B) Geometric Sequence. 18. You have $ 729 in the bank on Day 1, $ 243 on Day 2, and $ 81 on Day 3. Write the explicit formula that expresses the sequence. A) A$_{n}$ = 1/3(a$_{n-1}$). B) A$_{n }$= 1/3(729)$^{n-1}$. C) A$_{n}$ = 729(1/3)$^{n-1}$. D) A$_{n}$ = 729(3)$^{n-1}$. Show Answer Correct Answer: C) A$_{n}$ = 729(1/3)$^{n-1}$. 19. What is the arithmetic mean of 8 and 25? A) 16.5. B) 15.5. C) 16. D) 17. Show Answer Correct Answer: A) 16.5. 20. A bouncing ball was originally dropped from 25 cm (a1 = 25). If the ball bounces to $\frac{4}{5}$ A) 25 cm. B) 5.24 cm. C) 84.04 cm. D) 10.24 cm. Show Answer Correct Answer: B) 5.24 cm. 21. You sent a message to 6 friends, and they forwarded it to 2 people each the next day. Then those people each sent it to two people on the day after. How many people have received the message after 5 days? A) 60. B) 186. C) 96. D) 192. Show Answer Correct Answer: B) 186. 22. Find the next term of the sequence:2, -1, $\frac{1}{2}$ $-\frac{1}{4}$ A) $-\frac{1}{8}$. B) $-\frac{1}{16}$. C) $\frac{1}{8}$. D) $\frac{1}{16}$. Show Answer Correct Answer: C) $\frac{1}{8}$. 23. Of an arithmetic sequence, the third term is 36, the sum of the fifth and seventh terms is 144. The sum of the first ten terms of the series is ..... A) 660. B) 640. C) 630. D) None of the above. Show Answer Correct Answer: A) 660. 24. 1 + 10 + 100 + 1000 + ..... + 1, 000, 000, 000, 000Convert to sigma notation A) $\sum_{n=1}^{12}1\left(10\right)^{n-1}$. B) $\sum_{n=1}^{12}1\left(10\right)^n$. C) $\sum_{n=1}^{13}1\left(10\right)^n$. D) $\sum_{n=1}^{13}1\left(10\right)^{n-1}$. Show Answer Correct Answer: D) $\sum_{n=1}^{13}1\left(10\right)^{n-1}$. 25. Find the sum:800 + 200 + 50 + 12.5 + ..... + ($^{25}$/$_{2048}$) A) 1062.51. B) 1066.66. C) -2103.67. D) -3200.99. Show Answer Correct Answer: B) 1066.66. 26. The common difference in the arithmetic sequence 2, -6, -14, -22, ..... is A) 8. B) -3. C) -8. D) -16. Show Answer Correct Answer: C) -8. 27. Which of the following is the correct Fibonacci number sequence? A) 0, 1, 2, 3, 4, 5, etc. B) 1, 8, 27, 64, 125, etc. C) 1, 1, 2, 3, 5, 8, 13, etc. D) 1, 1, 2, 2, 4, 8, 32, 256, etc. Show Answer Correct Answer: C) 1, 1, 2, 3, 5, 8, 13, etc. 28. Which statement is true about the sequence shown below?0, 4.5, 12, 22.5, ..... A) The series diverges because the limit of the sequence as n approaches infinity is 30. B) The series converges because the limit of the sequence as n approaches infinity is 30. C) The series converges because the limit of the sequence as n approaches infinity is infinity. D) The series diverges because the limit of the sequence as n approaches infinity is infinity. Show Answer Correct Answer: D) The series diverges because the limit of the sequence as n approaches infinity is infinity. 29. Find the geometric mean of each pair of numbers.-2 and-98 A) 6. B) -6. C) -14. D) 14. Show Answer Correct Answer: C) -14. 30. Which of the following is not an arithmetic sequence. A) 3, 9, 27, 81. B) 4.5, 5.0, 5.5, 6.0, . C) 1, 2, 3, 4, 5. D) 13, 2, -9, -20, -31. Show Answer Correct Answer: A) 3, 9, 27, 81. 31. Numbers in a sequence always get bigger. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 32. Determine the common difference in the arithmetic sequence:12, 9, 6, 3, ..... A) 0. B) -3. C) 5. D) 2. Show Answer Correct Answer: B) -3. 33. Eight posts on a straight path are 20 meters apart. What is the distance from the first to the last post? A) 80 meters. B) 160meters. C) 120 meters. D) 140 meters. Show Answer Correct Answer: D) 140 meters. 34. It is given that 64, x and y are the first three terms of a geometric sequence, while-8, y and x are the first three terms of an arithmetic sequence, where x and y are integers. Find the sum to infinity of the geometric sequence 64, x, y, ..... A) -16. B) $\frac{64}{9}$. C) 4. D) $\frac{256}{3}$. Show Answer Correct Answer: D) $\frac{256}{3}$. 35. Find the sum of the first 20 terms of the arithmetic sequence $14+3-8+ ..... $ A) -1810. B) 1810. C) -195. D) 195. Show Answer Correct Answer: A) -1810. 36. If 2nd, 3rd and 6th terms of an AP are the three consecutive terms of a GP then find the common ratio of the GP. A) 3. B) 4. C) 6. D) 5. Show Answer Correct Answer: A) 3. 37. What is the coefficient of the $x^4$ $\left(1-3x\right)^6$ A) 135. B) 1215. C) 81. D) 15. Show Answer Correct Answer: B) 1215. 38. Form a sequence that has two arithmetic means between 4 and 16. A) 4, 8, 12, 16. B) 20. C) 4, 8, 10, 12, 14, 16. D) 4, 10, 16. Show Answer Correct Answer: A) 4, 8, 12, 16. 39. You start a new job that pays you $ 0.05 on the 1st day and then doubles your pay every day after that. How much money do you make on day 15? A) $ 1638.40. B) Too much to count!. C) $ 819.20. D) $ 409.60. Show Answer Correct Answer: C) $ 819.20. 40. Use the first four terms of the exponential series and a calculator to approximate the value of e$^{0.28}$ to three decimal places. A) 0.33. B) 0.76. C) 1.38. D) 1.33. Show Answer Correct Answer: D) 1.33. 41. Find S$_{n}$ for the series where a$_{1 }$= 22, d =-8, and n = 21. A) -1218. B) -2436. C) -1449. D) 1911. Show Answer Correct Answer: A) -1218. 42. Apply the formula for the sum of a finite geometric series to find the sum of the series $1, -2, 4, -8, 16, -32$ A) -63. B) -31. C) 63. D) 31. Show Answer Correct Answer: C) 63. 43. Find the sum of all 4-digit numbers. A) 21, 444, 321. B) 49, 495, 500. C) 50, 500, 500. D) 333, 456, 700. Show Answer Correct Answer: B) 49, 495, 500. 44. It is a sequence that has a common difference. A) Arithmetic Sequence. B) Arithmetic Series. C) Arithmetic Means. D) Arithmetic Pattern. Show Answer Correct Answer: A) Arithmetic Sequence. 45. John has purchased 20 books. The 1st book cost $ 1, the 2nd cost $ 2, the 3rd cost $ 4, and the 4th cost $ 8, and so on. How much did John pay for the 20 books? A) $ 1, 048, 575. B) $ 2, 000, 000. C) $ 1, 555, 119. D) None of the above. Show Answer Correct Answer: A) $ 1, 048, 575. 46. If the sum to infinity of the geometric sequence $a, \-\frac{a}{3}, \\frac{a}{9}, \ ..... $ $\frac{45}{8}$ A) 15. B) $\frac{15}{2}$. C) $\frac{15}{8}$. D) $\frac{15}{4}$. Show Answer Correct Answer: B) $\frac{15}{2}$. 47. The common ratio is represented by ..... A) The variable r. B) The variable d. C) All the above. D) None of the above. Show Answer Correct Answer: A) The variable r. 48. What is the rule for the nth term of the geometric sequence with third term-12 and common ratio 3 A) -4(3)$^{n-1}$. B) -($^{4}$/$_{3}$)(3)$^{n-1}$. C) -($^{1}$/$_{3}$)(3)$^{n-1}$. D) -($^{3}$/$_{4}$)(3)$^{n-1}$. Show Answer Correct Answer: B) -($^{4}$/$_{3}$)(3)$^{n-1}$. 49. The first day the magazine was published the company got 190 responses but they were declining by 10% each day assuming this continues, how many total responses would the company get over the first 29 days? A) $S_n=\frac{190-190\left(.10\right)^{29}}{1-.10}$. B) $S_n=\frac{190-190\left(.90\right)^{29}}{1-.90}$. C) $S_n=\frac{190-190\left(1.10\right)^{29}}{1-1.10}$. D) $a_n=190\left(.90\right)^{n-1}$. Show Answer Correct Answer: B) $S_n=\frac{190-190\left(.90\right)^{29}}{1-.90}$. 50. Find the next three terms:1024, 768, 576, ..... A) 384, 192, 0. B) 320, 64, -192. C) 432, 324, 243. D) 432, 216, 108. Show Answer Correct Answer: C) 432, 324, 243. 51. Write the explicit formula for the following geometric sequence:10, 20, 40, 80, ..... A) A$_{n}$ = 10(2)$^{n-1}$. B) A$_{n}$ = 2(10)$^{n-1}$. C) A$_{n}$ = 10(2)$^{n}$. D) A$_{n}$ = 2(10)$^{n}$. Show Answer Correct Answer: A) A$_{n}$ = 10(2)$^{n-1}$. 52. Which formula is used to find the explicit equation for geometric sequences? A) A$_{n}$ = a$_{n-1}$ + d. B) A$_{n}$ = a$_{1}$ * r$^{n-1}$. C) A$_{n}$ = a$_{1}$ + d(n-1). D) A$_{n}$ = a$_{n-1}$ * r. Show Answer Correct Answer: B) A$_{n}$ = a$_{1}$ * r$^{n-1}$. 53. Which statement is correct for these series 1) 21+63+189+ ..... 2) 480+360+270+ ..... A) The first is convergent and the second is divergent. B) The first and the second both are convergent. C) The first is divergent and the second is convergent. D) Both are divergent. Show Answer Correct Answer: C) The first is divergent and the second is convergent. 54. *Infinitely many mathematicians walk into a pizza restaurant. The first says, "I'll have one pizza." The second says, "I'll have half a pizza." The third says, "I'll have a quarter of a pizza" , and so on ..... *How many Pizzas should the waiter give them???? A) Infinity. B) 1. C) 2. D) 5. Show Answer Correct Answer: C) 2. 55. The next term of the series 11, 8, 5, 2 is ..... A) -2. B) 2. C) -1. D) 1. Show Answer Correct Answer: C) -1. 56. The sum of the terms in a sequence is known as a Series. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 57. Find the 8th term of the sequence:an = 2(5)n-1 A) 156250. B) 10000000. C) 80. D) 16. Show Answer Correct Answer: A) 156250. 58. In a geometric sequence, u$_{4}$ = 405 and u$_{7}$ = 10935. Find the first term (u$_{1}$). A) 45. B) 15. C) 5. D) 3. Show Answer Correct Answer: B) 15. 59. An arithmetic sequence has a common ..... A) Difference. B) Ratio. C) All the above. D) None of the above. Show Answer Correct Answer: A) Difference. 60. What would be the missing terms of the series A) 125-625-15625. B) 625-3125-15625. C) 125-625-3125-15625. D) 125 + 625-3125 + 15625. Show Answer Correct Answer: C) 125-625-3125-15625. ← PreviousNext →Related QuizzesScience QuizzesClass 11 QuizzesClass 11 Mathematics Chapter 9 Sequences And Series Quiz 1Class 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 9 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books