This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 7 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 7 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Which formula would determine the SUM of the first 8 terms of the following sequence? A) $S_n=\frac{75-75\left(.94\right)^8}{1-.94}$. B) $a_n=75\left(1.06\right)^{8-1}$. C) $S_n=\frac{75-75\left(1.06\right)^8}{1-1.06}$. D) $a_n=75\left(.94\right)^{8-1}$. Show Answer Correct Answer: A) $S_n=\frac{75-75\left(.94\right)^8}{1-.94}$. 2. Find the next term of this sequence:10, 8, 5, 1, ..... A) -6. B) -3. C) -4. D) -5. Show Answer Correct Answer: A) -6. 3. Given the following two terms of a geometric sequence, write the explicit formula. $a_4=80;\\a_7=640$ A) $t\left(n\right)=2\left(10\right)^n$. B) $t\left(n\right)=10\left(2\right)^n$. C) $t\left(n\right)=2\left(5\right)^n$. D) $t\left(n\right)=5\left(2\right)^n$. Show Answer Correct Answer: D) $t\left(n\right)=5\left(2\right)^n$. 4. What is the 7th term in the sequence7, 11, 15, ..... ? A) 30. B) 32. C) 31. D) 33. Show Answer Correct Answer: C) 31. 5. Find the sum of the arithmetic series where a$_{21 }$=145, d = 5, a$_{1}$ = 45 A) 1050. B) 2100. C) 1890. D) 1995. Show Answer Correct Answer: D) 1995. 6. Evaluate S$_{n}$ for the series 34 + 29 + 24 + 19 + ..... , for the first 80 terms (i.e., n = 80). A) -26160. B) -13080. C) -18520. D) -2325. Show Answer Correct Answer: B) -13080. 7. Jenny has $ 40 in her savings account. She adds $ 10 per week. How many weeks will it take for her to have $ 100 in her savings account? A) 7 weeks. B) 8 weeks. C) 5 weeks. D) 6 weeks. Show Answer Correct Answer: D) 6 weeks. 8. What is geometric mean of 4 and 9? A) 6. B) 5. C) 8. D) 7. Show Answer Correct Answer: A) 6. 9. Which sequence is NOT an arithmetic sequence? A) 16, 20, 24, 28, . B) 10, 3, -4, -11, . C) 12, 18, 24, 30, . D) 2, 4, 8, 16, . Show Answer Correct Answer: D) 2, 4, 8, 16, . 10. Find the sum of the infinite geometric series, if it exists. $\sum_{n=1}^{\infty}8\left(\frac{1}{5}\right)^{n-1}$ A) 10. B) Does not exist. C) 8. D) 8/5. Show Answer Correct Answer: A) 10. 11. Write the recursive formula for 4, 8, 12 ..... A) A$_{n}$=a$_{n-1}$-4. B) A$_{n}$=a$_{n-1}$+4. C) A$_{n}$=a$_{n-1}$-7. D) A$_{n}$=a$_{n-1}$+3. Show Answer Correct Answer: B) A$_{n}$=a$_{n-1}$+4. 12. A theater has 60 seats in the first row, 68 seats in the second row, 76 seats in the third row, and so on in the same increasing pattern. What are the first term and the common difference? A) A$_{1}$=60, d=-8. B) A$_{1}$=60, d=68. C) A$_{1}$=60, d=8. D) A$_{1}$=8, d=60. Show Answer Correct Answer: C) A$_{1}$=60, d=8. 13. This classifies a polynomial with 2 terms ..... A) Gnomial. B) Monomial. C) Binomial. D) Trinomial. Show Answer Correct Answer: C) Binomial. 14. Find the common ratio:64, -16, 4, -1, ..... A) R = 4. B) R =-1/4. C) R =-4. D) R =-8. Show Answer Correct Answer: B) R =-1/4. 15. Is the sequence 2, 4, 12, 48, ..... geometric? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 16. The next two terms of the sequence 12, 17, 22 are A) 28 and 33. B) 29 and 34. C) 27 and 32. D) 30 and 35. Show Answer Correct Answer: C) 27 and 32. 17. What is the explicit formula for the sequence? 4, -20, 100, -500, ..... A) $a_n=3\left(2\right)^{n-1}$. B) $a_n=4\left(-5\right)^{n-1}$. C) $a_n=4\left(2\right)^{n-1}$. D) $a_n=3\left(-5\right)^{n-1}$. Show Answer Correct Answer: B) $a_n=4\left(-5\right)^{n-1}$. 18. Does this sequence converge or diverge? $\frac{1}{3}, 1, 3, 9, ..... $ A) Converges to 1. B) Diverges. C) Converges to 0. D) Converges to 3. Show Answer Correct Answer: B) Diverges. 19. There were originally 1400 alligators in the Florida Everglades. Since then, the population of alligators has increased by 5% each year. How long will it take for the population to be more than 2000? A) 8 years. B) 7 years. C) 9 years. D) 15 years. Show Answer Correct Answer: A) 8 years. 20. Choose the correct recursive formula for the following sequence:2, 8, 14, 20, ..... A) $a_1=2$ $a_n=4a_{n-1}$. B) $a_1=2$ $a_n=6a_{n-1}$. C) $a_1=2$ $a_n=a_{n-1}+4$. D) $a_1=2$ $a_n=a_{n-1}+6$. Show Answer Correct Answer: D) $a_1=2$ $a_n=a_{n-1}+6$. 21. Evaluate the geometric series described below. A) -585. B) -21, 845. C) 585. D) 21, 845. Show Answer Correct Answer: B) -21, 845. 22. Tyler has 15 fantasy football points at the beginning of Sunday's games. His players earn 18 points each per game. How many points will Tyler have after his players have played 5 games? A) 93. B) 75. C) 90. D) 105. Show Answer Correct Answer: D) 105. 23. What do you call the terms between any two given nonconsecutive terms of a geometric sequence? A) Fibonacci Mean. B) Harmonic Mean. C) Arithmetic Mean. D) Geometric Mean. Show Answer Correct Answer: D) Geometric Mean. 24. How do you proceed to the next term in this sequence 1, 3, 9, 27 A) Add 3 to the preceding term. B) Multiply the preceding term by 3. C) All the above. D) None of the above. Show Answer Correct Answer: B) Multiply the preceding term by 3. 25. Find a$_{18}$ for the following geometric sequence, -3, 6, -12, 24, , , A) 258, 280, 326. B) -786, 432. C) -37. D) 393, 216. Show Answer Correct Answer: D) 393, 216. 26. The sum of the terms in a sequence A) Sequence. B) Series. C) All the above. D) None of the above. Show Answer Correct Answer: B) Series. 27. In a grocery, the cans of milk are stacked in such a way that there is one can less in the upper row. How many cans of milk are there in a stack of 18 rows with 2 cans on the topmost row? A) 189 cans. B) 111 cans. C) 198 cans. D) 145 cans. Show Answer Correct Answer: A) 189 cans. 28. A culture initially contains 200 bacteria. If the number of bacteria doubles every 2 hours, how many bacteria will be in the culture at the end of 12 hours? A) 12600. B) 12700. C) 12400. D) 12500. Show Answer Correct Answer: A) 12600. 29. What is the common difference of the arithmetic sequence below?-6, -1, 4, 9 ..... A) 5. B) -6. C) 1/5. D) -5. Show Answer Correct Answer: A) 5. 30. Find the sum of the infinite geometric series.36-12 + 4-4/3 + ..... (This is infinite.) A) 27. B) 0. C) 1/3. D) 1, 000, 000, 000, 000, 000, 000, 000, 000. Show Answer Correct Answer: A) 27. 31. Find the sum of the first 6 terms of the geometric sequence 2, 8, 32, 128, ..... A) 2730. B) 2370. C) 7320. D) 3072. Show Answer Correct Answer: A) 2730. 32. Most automobiles depreciate as they get older. Suppose an automobile that originally costs $ 14, 000 depreciates by 20% of its value every year. What is the value of this automobile after 5 years? A) $ 4, 587.52. B) $ 34, 836.48. C) $ 4.48. D) $ 264, 539.52. Show Answer Correct Answer: A) $ 4, 587.52. 33. Consider the arithmetic sequence 1000, 993, 986, ..... Find the greatest sum of the first k terms, where k is a positive integer. A) 71 929. B) 72 432. C) 71 829. D) 71 426. Show Answer Correct Answer: A) 71 929. 34. A geometric sequence has a common ration(r) of 3 and the 8th term (a$_{8}$) is 13, 122. What is the first term of the sequence (a$_{1}$)? A) 6. B) 3. C) 2. D) 18. Show Answer Correct Answer: A) 6. 35. The sequence $\left(a_n\right)$ $a_1=\sqrt{k}$ $a_{n+1}=\sqrt{k+a_n}$ A) Convergent sequence. B) Divergent sequence. C) Oscillating sequence. D) None of the above. Show Answer Correct Answer: A) Convergent sequence. 36. Determine the sum of the first 10 terms in the arithmetic series:5 + 8 + 11 + ..... . A) 185. B) 98415. C) 205. D) 32. Show Answer Correct Answer: A) 185. 37. Given the recursive formula, find the explicit forma$_{n}$ = a$_{n-1}$ + 5a$_{1}$ =-16 A) A$_{n}$ = 5 + (n-1)(-16). B) A$_{n}$ = 16 + (n-1)(5). C) A$_{n}$ =-11 + (n-1)(5). D) A$_{n}$ =-16 + (n-1)(5). Show Answer Correct Answer: D) A$_{n}$ =-16 + (n-1)(5). 38. Evaluate the geometric series A) 195, 312. B) -65, 104. C) -130, 208. D) 292, 969. Show Answer Correct Answer: A) 195, 312. 39. Find the sum:4 + 4.8 + 5.76 + 6.912 + ..... A) 20. B) 24. C) Infinity. D) None of the above. Show Answer Correct Answer: C) Infinity. 40. The second and Fifth terms of a geometric series are 750 and-6 respectively, find the first term (a$_{1}$)? A) 3750. B) 2750. C) -3750. D) -2750. Show Answer Correct Answer: C) -3750. 41. Find the sum.24+48+72+ ..... +480*Hint:Find out what term number 480 is first. Then find the sum.* A) 9576. B) 10080. C) 5280. D) 5040. Show Answer Correct Answer: D) 5040. 42. Find S$_{9}$4, -16, 64, -256 ..... A) 209716. B) 204516. C) 230679. D) 223444. Show Answer Correct Answer: A) 209716. 43. Find the pattern:-34, -29, -24, -19, ..... A) -5. B) -6. C) +6. D) +5. Show Answer Correct Answer: D) +5. 44. Find the explicit formula for the given geometric sequence and then solve for $a_{10}$ $\left\{-4, -12, -36, -108, \ ..... \right\}$ A) $-48401$. B) $-78732$. C) $-3524$. D) $-181$. Show Answer Correct Answer: B) $-78732$. 45. The first day a Instagram video is out it gets 20 views. The number of views triples every day for the rest of the week. How many views does the video get? A) 21860. B) 17, 990. C) 10, 430. D) 12, 750. Show Answer Correct Answer: A) 21860. 46. Find the 11th term of the sequence: A) 2560. B) 5120. C) 10240. D) 20480. Show Answer Correct Answer: C) 10240. 47. If you use Pascal's triangle to expand the binomial (x + y)$^{4}$, which row of coefficients do you use? A) 1 4 6 4 1. B) 1 3 6 3 1. C) 1 5 10 5 1. D) 1 2 3 2 1. Show Answer Correct Answer: A) 1 4 6 4 1. 48. What is the explicit form of the following equation?a$_{n}$ = a$_{n-1}$-3; a$_{1}$ = 4 A) 4-3(n-1). B) 3 (4)$^{n-1}$. C) 4 + 3(n-1). D) 4 (-3)$^{n-1}$. Show Answer Correct Answer: A) 4-3(n-1). 49. What kind of sequence is illustrated below?400, 200, 100, 50, 25, ..... A) Arithmetic, d = 1/2. B) Geometric, r = 1/2. C) Neither. D) None of the above. Show Answer Correct Answer: B) Geometric, r = 1/2. 50. Find the first term of a sequence given the following:a$_{14 }$= 68 and d = 3 A) 29. B) 26. C) 20. D) 14. Show Answer Correct Answer: A) 29. 51. The nth term of a G.P is 128 and the sum of its n terms is 225. If its common ratio is 2, then its first term is A) 1. B) 3. C) 8. D) None of these. Show Answer Correct Answer: A) 1. 52. Find the sum of the infinite geometric series, if it exists. A) Does not exist. B) 8. C) 10. D) 8/5. Show Answer Correct Answer: C) 10. 53. $\left|r\right|<1$ A) Decreasing Sequence. B) Increasing Sequence. C) Convergent Series. D) Divergent Series. E) Periodic Sequence. Show Answer Correct Answer: C) Convergent Series. 54. Which of the given formulas for the general term of the sequence-9, -1, 7, 15, 23, ..... is correct? A) $t_n=-8n-17$. B) $t_n=8n-17$. C) $t_n=8n-1$. D) $t_n=-8n-1$. Show Answer Correct Answer: B) $t_n=8n-17$. 55. COnvert to sigma notation-4 + 8-16 +32-64 + ..... + 2048 A) $\sum_{n=1}^94\left(-2\right)^n$. B) $\sum_{n=1}^{10}2\left(-2\right)^n$. C) $\sum_{n=1}^92\left(-2\right)^n$. D) $\sum_{n=1}^{10}4\left(-2\right)^n$. Show Answer Correct Answer: B) $\sum_{n=1}^{10}2\left(-2\right)^n$. 56. Expand:$\sum_{k=3}^6\left(2k-1\right)$ A) 4, 6, 8. B) 4, 6, 8, 10. C) 5, 7, 9, 11. D) 5, 7, 9. Show Answer Correct Answer: C) 5, 7, 9, 11. 57. All series have a sum. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 58. What is the general term of the sequence whose first term is $\frac{25}{4}$ $\frac{-3}{4}$ A) $a_n=\frac{25}{4}-3n$. B) $a_n=\frac{3n}{4}-7$. C) $a_n=\frac{-3n}{4}+7$. D) $a_n=\frac{-3n-25}{4}$. Show Answer Correct Answer: C) $a_n=\frac{-3n}{4}+7$. 59. Which recursive formula best describes the sequence2, -6, 18, -54 ..... A) A$_{n=}$a$_{n-1}$* 2, a$_{1 }$=-3. B) A$_{n=}$a$_{n-1}$*-4, a$_{1 }$= 2. C) A$_{n=}$a$_{n-1}$*-3, a$_{1 }$=2. D) A$_{n=}$a$_{n-1}$*-8, a$_{1 }$=2. Show Answer Correct Answer: C) A$_{n=}$a$_{n-1}$*-3, a$_{1 }$=2. 60. What are the next three terms of the sequence:2, 4, 8 A) 8, 16, 32. B) 4, 2, 1. C) 16, 32, 64. D) 10, 12, 14. Show Answer Correct Answer: C) 16, 32, 64. ← 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 8Class 11 Mathematics Chapter 9 Sequences And Series Quiz 9 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books