This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 1 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Write an equation for the nth term of this arithmetic sequence:19, 31, 43, 55, ..... A) $a_n$. B) $a_n$. C) $a_n$. D) $a_n$. Show Answer Correct Answer: A) $a_n$. 2. What are the first four terms where a$_{1}$ =-16 and a$_{n}$ = a$_{n-1}$ + 5?Like question 2-4 on review sheet. A) -16, -21, -26, -31. B) -16, -80, -500, -200. C) -16, -11, -6, -1. D) 5, -11, -27, -43. Show Answer Correct Answer: C) -16, -11, -6, -1. 3. What is the equation for the general term of an arithmetic sequence? A) $u_n=u_1+\left(n-1\right)d$. B) $S_n=\frac{n}{2}\left(u_1+u_n\right)$. C) $u_n=u_1\left(r\right)^{n-1}$. D) $S_n=\frac{u_1\left(1-r^n\right)}{1-r}$. Show Answer Correct Answer: A) $u_n=u_1+\left(n-1\right)d$. 4. In what type of sequence do you ADD a constant value to the previous term? A) Arithmetic. B) Geometric. C) All the above. D) None of the above. Show Answer Correct Answer: A) Arithmetic. 5. Continues without end. A) Infinite Series. B) Finite Series. C) Series. D) Arithmetic Series. Show Answer Correct Answer: A) Infinite Series. 6. A list of numbers that follow a certain pattern A) Sequence. B) Series. C) All the above. D) None of the above. Show Answer Correct Answer: A) Sequence. 7. The third term of an arithmetic sequence is 12 and the sum of the first eight terms is 168. Find the 14th term. A) 78. B) -70. C) 70. D) -78. Show Answer Correct Answer: A) 78. 8. What is the 8th term in the sequence below?3, 9, 27, 81, ..... A) $6561$. B) 6561 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $6561$. 9. What is the rate of change of this sequence?7, 14, 21, 28, 35 A) 7. B) 14. C) 2. D) 4. Show Answer Correct Answer: A) 7. 10. Given the formula for a geometric sequence, r stands for A) Common difference. B) Wanted term. C) Common ratio. D) First term. Show Answer Correct Answer: C) Common ratio. 11. Given $a_{28}=-\frac{157}{9}, \d=-\frac{2}{3}$ $a_{25}$ A) $-\frac{139}{9}$. B) $-\frac{133}{3}$. C) $-\frac{139}{3}$. D) $-\frac{133}{9}$. Show Answer Correct Answer: A) $-\frac{139}{9}$. 12. Expand and evaluate the series. $\sum_{n=1}^{10}\left(n-2\right)^2$ A) 149. B) 82. C) -110. D) 205. Show Answer Correct Answer: D) 205. 13. Four people each did two good deeds. What is the equation to solve how many good deeds are done each stage? How many good deeds were done after the 5th stage? A) 64. B) 32. C) 128. D) 972. Show Answer Correct Answer: C) 128. 14. What formula best represents the sequence14, 1, -12, -25, -38, A) A$_{n}$= 14(-13)$^{(n-1)}$. B) A$_{n}$= 14 + 13(n-1). C) A$_{n}$= 14(13)$^{(n-1)}$. D) A$_{n}$= 14-13(n-1). Show Answer Correct Answer: D) A$_{n}$= 14-13(n-1). 15. Find the common ratio for the geometric sequence that has first term is 3 and fifth term is 48. A) 3. B) 1. C) 4. D) 2. Show Answer Correct Answer: D) 2. 16. Find the sum of the first 10 terms of geometric sequences-240, 48, -9.6, 1.92, ..... A) 100. B) -100. C) -200. D) 200. Show Answer Correct Answer: C) -200. 17. Insert three arithmetic means between 10 and 12 A) $\frac{17}{2}, \frac{19}{2}, \frac{21}{2}$. B) $\frac{17}{2}, \\frac{18}{2}, \frac{19}{2}$. C) $\frac{19}{2}, \frac{21}{2}, \frac{23}{2}$. D) $\frac{21}{2}, 11, \frac{23}{2}$. Show Answer Correct Answer: D) $\frac{21}{2}, 11, \frac{23}{2}$. 18. Jill started with $ 20 in her bank savings account. She wanted to save $ 10 a week each week. How much money will Jill have saved by week 4?Week 1:$ 30Week 2:Week 3:Week 4:Week 5:Week 6: A) $ 80. B) $ 60. C) $ 50. D) $ 40. Show Answer Correct Answer: B) $ 60. 19. Does this sequence converge or diverge? A) Converges to 5. B) Converges to 1. C) Diverges. D) Converges to 0. Show Answer Correct Answer: D) Converges to 0. 20. Evaluate:$\sum_{x=2}^{11}\left(5x-2\right)$ A) 305. B) 8. C) 53. D) 503. Show Answer Correct Answer: A) 305. 21. The set of natural numbers N is A) Bounded. B) Bounded below but not above. C) Bounded above but not below. D) Neither bounded above nor bounded below. Show Answer Correct Answer: B) Bounded below but not above. 22. Find the indicated nth partial sum of the arithmetic sequence.-3.1, -0.5, 2.1, 4.7, ..... , n = 15 A) 226.5. B) 265.5. C) 232.2. D) -286.5. Show Answer Correct Answer: A) 226.5. 23. Write 1 + 2 + 3 + ..... + 10 using sigma notation A) $\sum_{d=1}^9d$. B) $\sum_{d=1}^{10}d+1$. C) $\sum_{d=1}^{10}d$. D) None of the above. Show Answer Correct Answer: C) $\sum_{d=1}^{10}d$. 24. Which formula represents this arithmetic sequence:2, 8, 14, ..... A) 5n-2. B) 3n + 2. C) 4n. D) N + 6. Show Answer Correct Answer: D) N + 6. 25. When the calculated sum does not approach a certain value. A) Geometric Series. B) Limits. C) Converges. D) Diverges. Show Answer Correct Answer: D) Diverges. 26. If the first term is 5 and third term is 45, what is the common ratio? A) 180. B) 3. C) 10. D) 15. Show Answer Correct Answer: B) 3. 27. What is the ratio for the following sequence.1/2, 1/4, 1/8, 1/16 ..... A) -1/2. B) -2. C) 2. D) 1/2. Show Answer Correct Answer: D) 1/2. 28. 3) cosx(tanx+cotx) A) Sinx. B) Cscx. C) Tanx+1. D) None of the above. Show Answer Correct Answer: B) Cscx. 29. What kind of sequence is the pattern 15, 17, 20, 24, 29, ..... ? A) Arithmetic. B) Geometric. C) Neither. D) None of the above. Show Answer Correct Answer: C) Neither. 30. Find t$_{12}$ in the sequence-1, -3, -9, -27, ..... A) 118, 098. B) -59, 049. C) -19, 683. D) -177, 147. Show Answer Correct Answer: D) -177, 147. 31. An arithmetic sequence has a$_{15}$=160 and a common difference of-15. Find a$_{40}$. A) 535. B) -170. C) 370. D) -215. Show Answer Correct Answer: D) -215. 32. Determine the common ratio in the sequence 3, -3/4, 3/16, ..... A) 3/4. B) -1/4. C) 1/4. D) -3/4. Show Answer Correct Answer: B) -1/4. 33. Write the nth term formula:5 + 11 + 17 + 23 + ..... + 35 A) T(n) =-1 + 6(n-1). B) T(n) = 5 + 6n. C) T(n) = 5(6)$^{n-1}$. D) T(n) = 5 + 6(n-1). Show Answer Correct Answer: D) T(n) = 5 + 6(n-1). 34. From an arithmetic sequence it is known that the 5th term is 22 and termThe 12th term is 57. The 15th term of this sequence is ..... A) 62. B) 68. C) 72. D) None of the above. Show Answer Correct Answer: C) 72. 35. $18-12+8 ..... +\frac{512}{729}-\frac{1024}{2187}=$ A) $10.61$. B) 10.61 Mathematical EquivalenceOFF. C) All the above. D) None of the above. Show Answer Correct Answer: A) $10.61$. 36. Find the sum of the first 42 terms of the series whose terms are a$_{n}$=10-5n A) -4090. B) -3895. C) -4095. D) None of the above. Show Answer Correct Answer: C) -4095. 37. Find the n$^{th}$ term of the following sequence ..... 8, 13, 18, 23 ..... A) N+3. B) N+5. C) 3n+5. D) 5n+3. Show Answer Correct Answer: D) 5n+3. 38. A geometric series has a first term of 32 and a final term of $-\frac{1}{4}$ $-\frac{1}{2}$ A) 16.25. B) 21.25. C) 19.75. D) 22.5. Show Answer Correct Answer: B) 21.25. 39. A recovering heart attack patient is told to get on a regular walking program. The patient is told to walk a distance of 5 km the first week, 8 km the second week, 11 km the third week and so on for a period of 10 weeks. At that point the patient is to maintain the distance walked during the 10th week. How far will the patient walk during the 10th week? A) 22km. B) 35 km. C) 25 km. D) 32 km. Show Answer Correct Answer: D) 32 km. 40. Find the sum:$\sum_{n=1}^{50}-n+1$ A) -1225. B) -25. C) -24.5. D) -1250. Show Answer Correct Answer: A) -1225. 41. The first term of a G.P is 1. The sum of the third term and fifth term is 90. The common ratio is A) 3. B) -3. C) $\pm$. D) None of these. Show Answer Correct Answer: C) $\pm$. 42. The sum of the infinite series 4-6 + 9-27/2 + ..... A) 549. B) 670. C) N/A. D) 1230. Show Answer Correct Answer: C) N/A. 43. Write a recursive rule for the sequence 1, 2, 5, 14, 41, 122, ..... A) A$_{n}$ = 3 a$_{n-1}$-1. B) A$_{n}$ = 2 a$_{n-1}$-2. C) A$_{n}$ = 3 a$_{n-1}$ + 1. D) A$_{n}$ = (a$_{n-1)}$$^{2}$ + 1. Show Answer Correct Answer: A) A$_{n}$ = 3 a$_{n-1}$-1. 44. Find a$_{12}$ for the rule a$_{n}$ = 6(2)$^{n-1}$ A) 12, 288. B) 2048. C) 24, 576. D) 4096. Show Answer Correct Answer: A) 12, 288. 45. Find the sum of the infinite geometric series, if it exists:2 + (16/7) + (128/49) + (1024/343) + ..... A) Does not exist. B) 14. C) 208.32. D) None of the above. Show Answer Correct Answer: A) Does not exist. 46. In sequence notation, which of the following represents the previous term to $a_n$ A) $a_{n-1}$. B) $n-1$. C) $n$. D) $a_{n+1}$. Show Answer Correct Answer: A) $a_{n-1}$. 47. What is the equation for the general term of an geometric sequence? A) $S_n=\frac{u_1\left(1-r^n\right)}{1-r}$. B) $u_n=u_1\left(r\right)^{n-1}$. C) $S_n=\frac{n}{2}\left(u_1+u_n\right)$. D) $u_n=u_1+\left(n-1\right)d$. Show Answer Correct Answer: B) $u_n=u_1\left(r\right)^{n-1}$. 48. The sum of an infinite geometric series is 20/3 and its common ratio is 1/4 . What is the first term of the series? A) $\frac{5}{3}$. B) 5. C) $\frac{1}{4}$. D) $\frac{80}{3}$. Show Answer Correct Answer: B) 5. 49. Find the common difference in the arithmetic sequence:-15, -12, -9, -6, ..... ? A) -2. B) 0. C) 5. D) 3. Show Answer Correct Answer: D) 3. 50. What is the common ratio of the geometric sequence, -14, 56, -224, 896, -3584? A) -6. B) -7. C) -4. D) -5. Show Answer Correct Answer: C) -4. 51. An arithmetic sequence is given below.16, 13, 10, 7, ..... Which is the general formula for the n$^{th}$ term T$_{n}$? A) T$_{n }$=-5n+20. B) T$_{n }$= 3n+13. C) T$_{n }$=-3n+19. D) T$_{n }$=-5n+13. Show Answer Correct Answer: C) T$_{n }$=-3n+19. 52. Find the explicit formula for:-30, 0, 30, 60 A) $a_n=-30+\left(n-1\right)30$. B) $a_n=-30+\left(n-1\right)\left(-30\right)$. C) $a_n=30+\left(n-1\right)30$. D) $a_n=30+\left(n-1\right)\left(-30\right)$. Show Answer Correct Answer: A) $a_n=-30+\left(n-1\right)30$. 53. Apply the formula for the sum of a finite geometric series to find the sum of the first 3 terms of the series $3, 9, 27, ..... $ A) 45. B) 40. C) 48. D) 39. Show Answer Correct Answer: D) 39. 54. Find the sum of the finite geometric sequence. Round to the nearest thousandth. $\sum_{i=0}^4500\left(1.06\right)^i$ A) 2187.308. B) 2318.546. C) 2818.546. D) 2232.553. Show Answer Correct Answer: C) 2818.546. 55. Write the first term(a1) and the common ratio(r) of this geometric sequence 1/11, 3/22, 9/44, 27/88, 81/176, ..... ? A) 1/2. B) 5/4. C) 1/4. D) 3/2. Show Answer Correct Answer: D) 3/2. 56. What are missing terms in this sequence?5, ..... , ..... , 26 A) 11, 20. B) 9, 29. C) 12, 19. D) 13, 23. Show Answer Correct Answer: C) 12, 19. 57. This type of series has a common ratio: A) Arithmetic. B) Geometric. C) Neither. D) None of the above. Show Answer Correct Answer: B) Geometric. 58. What is the 5th term of the sequence 7, 14, 28, ..... ? A) 72. B) 48. C) 56. D) 112. Show Answer Correct Answer: D) 112. 59. Given the recursive formula below, find the first five terms. a$_{1}$ = 3a$_{n}$ = a$_{n-1}$ + 2 A) 2, 4, 6, 8, 10. B) 3, 5, 7, 9, 11. C) 3, 4, 5, 6, 7. D) 5, 7, 9, 11, 13. Show Answer Correct Answer: B) 3, 5, 7, 9, 11. 60. A sequence is a function whose domain is the set of positive integers. It is also means an ordered list of numbers. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 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