This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 14 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 14 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Find the next term in the following sequence:23, 19, 15, 11 ..... A) 8. B) 5. C) 7. D) 6. Show Answer Correct Answer: C) 7. 2. In a simulation where 10 people have a virus, each day 3 more people than the previous day get the virus. How many people would have had the virus after 14 days? (the day where 10 people have the virus is considered the first day) A) 58. B) 413. C) 49. D) 1, 587. E) 247. Show Answer Correct Answer: B) 413. 3. Is the sum of the first n terms of a geometric series always positive? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 4. Define:common difference A) The difference between consecutive numbers in an arithematic sequence. B) Subtraction. C) All of the above. D) None of the above. Show Answer Correct Answer: A) The difference between consecutive numbers in an arithematic sequence. 5. If the 3rd and the 7th term of a geometric sequence are 3 and 48 respectively, which of the following must be true?I. The 5th term is 12.II. The sequence has no negative terms.III. All the terms in the sequence are integers. A) I only. B) II only. C) I and III only. D) II and III only. Show Answer Correct Answer: A) I only. 6. A theater was designed to have 12 seats in the first row, 15 seats in the second row, 18 seats in the third row and so on. If the theater has seating capacity of 255 seats. How many rows does it have? A) 15. B) 13. C) 10. D) 17. Show Answer Correct Answer: C) 10. 7. What is the 3rd term for the equation a$_{n}$=5n-3 A) 17. B) 22. C) 2. D) 12. Show Answer Correct Answer: D) 12. 8. Given the recursive formula, find the first four terms:a$_{n}$ = a$_{n-1}$ + 5a$_{1}$ =-16 A) -16, -80, -500, -200. B) -16, -21, -26, -31. C) 5, -11, -27, -43. D) -16, -11, -6, -1. Show Answer Correct Answer: D) -16, -11, -6, -1. 9. Find the common ratio:-3, -9, -27, -81, ..... A) R = 6. B) R =-3. C) R =-6. D) R = 3. Show Answer Correct Answer: D) R = 3. 10. What is the value of the first term of the sequence a$_{n}$ = n-1? A) 2. B) 1. C) -1. D) 0. Show Answer Correct Answer: D) 0. 11. Find the geometric mean of each pair of numbers. 9 and 16 A) 12. B) 15. C) 10. D) 13. Show Answer Correct Answer: A) 12. 12. Find the sum of the first 100 positive odd integers. A) 10, 000. B) 5, 000. C) 15, 000. D) None of the above. Show Answer Correct Answer: A) 10, 000. 13. Find the sum of the series $\sum_{n=1}^{20}\left(3n+2\right)$ A) 1340. B) 670. C) 67. D) 33.5. Show Answer Correct Answer: B) 670. 14. A sequence can be generated by using a$_{n}$ = a$_{(n-1)}$ + 10, where a$_{1}$ = 23 and n is a whole number greater than 1. What are the first five terms in the sequence? A) 23, 13, 3, -7, -17. B) 33, 43, 53, 63, 73. C) 23, 33, 43, 53, 63. D) 23, 230, 2300, 23000, 230000. Show Answer Correct Answer: C) 23, 33, 43, 53, 63. 15. If r = 4 and a$_{6}$ = 192, what is the first term of the sequence? A) 48. B) 168. C) 0.46875. D) 0.1875. Show Answer Correct Answer: D) 0.1875. 16. Find the 10th term of the series:1+2+4+8+16 A) 512. B) 64. C) 1024. D) 256. Show Answer Correct Answer: A) 512. 17. Given the first five terms, write the recursive formula.15, 12, 9, 6, 3 ..... A) U$_{1}$ = 15u$_{n}$ = u$_{n-1}$ + 3. B) U$_{1}$ = 15u$_{n}$ = u$_{n-1}$-3. C) U$_{0}$ = 15u$_{n}$ = u$_{n-1}$ + 3. D) U$_{0}$ = 15u$_{n}$ = u$_{n-1}$-3. Show Answer Correct Answer: B) U$_{1}$ = 15u$_{n}$ = u$_{n-1}$-3. 18. A geometric series is as follows:40 + 36 + 32.4 + ..... Find the sum of this series. A) 500. B) 600. C) 400. D) 300. Show Answer Correct Answer: C) 400. 19. Find the sum of the first 10 terms for the series:-1 + 2 + 5 + 8 + ..... A) 125. B) 122. C) 128. D) 131. Show Answer Correct Answer: A) 125. 20. 9 + 6 + 4 + ..... , the find S$_{7}$ A) $\frac{2059}{81}$. B) $-\frac{2059}{81}$. C) $\frac{81}{2059}$. D) $-\frac{81}{2059}$. Show Answer Correct Answer: A) $\frac{2059}{81}$. 21. What are the missing numbers? 5, 7, ..... , 11, 13, ..... A) 9 and 17. B) 8 and 14. C) 9 and 15. D) 6 and 12. Show Answer Correct Answer: C) 9 and 15. 22. Given the geometric sequence $-160, \\80, -40, \\20, \ ..... $ $a_{11}$ A) $\frac{5}{64}$. B) $\frac{5}{16}$. C) $\frac{5}{32}$. D) $-\frac{5}{32}$. Show Answer Correct Answer: D) $-\frac{5}{32}$. 23. Find the next term:4, 13, 22 A) 13. B) 31. C) 4. D) 9. Show Answer Correct Answer: B) 31. 24. Find the 20th term in the arithmetic sequence:5, 12, 19, 26 ..... A) 138. B) 145. C) 142. D) 144. Show Answer Correct Answer: A) 138. 25. Given the sequence 4, 11, 18, 25 ..... what is T$_{3}$? A) 18. B) 25. C) 11. D) 4. Show Answer Correct Answer: A) 18. 26. It is the sum of definite number of terms of an arithmetic sequence A) Arithmetic Means. B) Arithmetic Patterns. C) Arithmetic Sequence. D) Arithmetic Series. Show Answer Correct Answer: D) Arithmetic Series. 27. Find the common ratio for the geometric sequence:3, -12, 48, -192 ..... A) 1/4. B) -1/4. C) -4. D) 4. Show Answer Correct Answer: C) -4. 28. Find the fifth term of a geometric sequence whose first term is 6 and whose common ratio is 4/3. A) 128/9. B) 32/3. C) 2048/81. D) 512/27. Show Answer Correct Answer: D) 512/27. 29. Find S$_{6}$-4, -8, -16, -32 ..... A) 4. B) -253. C) -235. D) -252. Show Answer Correct Answer: D) -252. 30. Least and greatest values of n in the series. A) Geometric Series. B) Converges. C) Diverges. D) Limits. Show Answer Correct Answer: D) Limits. 31. Find the sum of first 7 terms of geometric progression below:4-8-16-32 ..... A) 202. B) 145. C) 195. D) 172. Show Answer Correct Answer: D) 172. 32. It is a sequence in which every term after the first is obtained by multiplying the same constant r. A) Geometric sequence. B) Arithmetic sequence. C) Harmonic sequence. D) Fibonacci sequence. Show Answer Correct Answer: A) Geometric sequence. 33. The attendance at the art museum at the New Year's opening was 250 people. The attendance has been increasing at a rate of 3% each month. How many people will attend by the end of a year (12 months)? A) 356. B) 582. C) 265. D) 329. Show Answer Correct Answer: A) 356. 34. Evaluate the arithmetic series described:28 + 38 + 48 + 58 ..... , S$_{7}$ A) 812. B) 1644. C) 3290. D) 406. Show Answer Correct Answer: D) 406. 35. Which of the following algebraic expressions best describes the nth term of the arithmetic sequence? 7, 9, 11, 13, ..... A) 2 + 5n. B) 5 + 2n. C) N + 5. D) 7n. Show Answer Correct Answer: B) 5 + 2n. 36. What is the sum of the first 20 counting numbers? A) 20. B) 210. C) 305. D) 145. Show Answer Correct Answer: B) 210. 37. Arithmetic Series:The arithmetic sequence 28, 34, 40, 46, 52, ..... , has 11 terms. First term a = 28 and the common difference is d = 6. Find the sum of the 11 terms (n=11). $S_n=\\frac{n}{2}\left(2a+\left(n-1\right)\left(d\right)\right)$ A) 550. B) 610. C) 638. D) 288. Show Answer Correct Answer: C) 638. 38. Which kind of sequence is this:2, 6, 12, 36, 72 ..... A) Arithmetic. B) Geometric. C) Other. D) None of the above. Show Answer Correct Answer: C) Other. 39. Write the recursive rule for the arithmetic sequence82, 76, 70, 64, ..... A) A$_{1}$=64; a$_{n}$ = a$_{n-1}$-6. B) A$_{1}$=82; a$_{n}$ = a$_{n-1}$-6. C) A$_{1}$=64; a$_{n}$ = a$_{n-1}$+6. D) A$_{1}$=82; a$_{n}$ = a$_{n-1}$+6. Show Answer Correct Answer: B) A$_{1}$=82; a$_{n}$ = a$_{n-1}$-6. 40. Determine if the following sequence is arithmetic or geometric.6, 12, 24, 48, 96, ..... A) Arithmetic. B) Geometric. C) All the above. D) None of the above. Show Answer Correct Answer: B) Geometric. 41. It is a set of things (usually numbers) that make a pattern. A) Term. B) Sequence. C) Arithmetic Series. D) Arithmetic Sequence. Show Answer Correct Answer: B) Sequence. 42. Find the sum of the series:1+2+3+4+ ..... +50 A) 5100. B) 2550. C) 50. D) 1275. Show Answer Correct Answer: D) 1275. 43. There are 125 passengers in the first carriage, 150 passengers in the second carriage and 175 passengers in the third carriage, and so on in an arithmetic sequence. What is the total number of passengers in the 7th carriage? A) 225. B) 250. C) 300. D) 275. Show Answer Correct Answer: D) 275. 44. -4, -12, -36, -108, ..... Find the common ratio A) R=-2. B) R=3. C) R=-3. D) R=2. Show Answer Correct Answer: B) R=3. 45. Evaluate the 5$^{th}$ partial sum of the given geometric sequence:2, 12, 72, ..... A) 3110. B) 18, 662. C) 2592. D) Cannot be determined. Show Answer Correct Answer: A) 3110. 46. Find the arithmetic means in each sequence. 24, ..... , ..... , ..... , ..... , -1 A) 14, 19, 9, 4. B) 4, 9, 14, 19. C) 19, 9, 19, 4. D) 19, 14, 9, 4. Show Answer Correct Answer: D) 19, 14, 9, 4. 47. Given the geometric sequenceFind $a_{10}$ A) 1, 953, 125. B) 390, 625. C) 78, 125. D) -390, 625. Show Answer Correct Answer: D) -390, 625. 48. In a geometric sequence, t$_{4}$ = 405 and t$_{7}$ = 10935. Find the first term (t$_{1}$). A) 3. B) 5. C) 15. D) 45. Show Answer Correct Answer: C) 15. 49. Find the next three terms of the geometric sequence:-4, -12, -36, -108, ..... A) -108, 324, -972. B) 36, -108, 324. C) 324, -972, 2916. D) -324, -972, -2916. Show Answer Correct Answer: D) -324, -972, -2916. 50. The 5th and 15th terms of a geometric sequence are 9 and 27. Is 85 a term of this sequence? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 51. Given the sequence 4, 11, 18, 25 ..... what is a$_{3}$? A) 11. B) 25. C) 18. D) 4. Show Answer Correct Answer: C) 18. 52. The individual numbers in a sequences are called ..... A) Geometric term. B) Term. C) Common difference. D) Successive term. Show Answer Correct Answer: B) Term. 53. The first three terms of the sequence defined by $t_n=-0.3n+0.5$ A) -0.3, -0.8, -1.3. B) 0.2, -0.1, -0.4. C) 0.5, 0.8, 1.1. D) -0.3, 0.2, 0.7. Show Answer Correct Answer: B) 0.2, -0.1, -0.4. 54. Find the indicated sum for the geometric series.S$_{6}$ for (-4/5) + 8 + (-80) + 800 + ..... A) $_{S6}$ = 72, 727.2. B) $_{S6}$ = 21, 845. C) $_{S6}$ =-128, 840.8. D) $_{S6}$ = 72, 000. Show Answer Correct Answer: A) $_{S6}$ = 72, 727.2. 55. What is the 15th term of the arithmetic sequence:4, 10, 16, 22, ..... ? A) 60. B) 88. C) 40. D) 25. Show Answer Correct Answer: B) 88. 56. Use the first three terms of the trigonometric series to approximate the value of cos (pi/2) to four decimal places. A) 0.0200. B) -0.4665. C) 0.0408. D) 1.9800. Show Answer Correct Answer: A) 0.0200. 57. Find the sum of the arithmetic series ..... 3 + 5 + 7 + ..... + 17 A) 70. B) 80. C) 160. D) 32. Show Answer Correct Answer: B) 80. 58. Find the sum of 125 + 25 + 5 + ..... + S$_{9}$ A) $\frac{488280}{3125}$. B) $\frac{488281}{3125}$. C) $\frac{3125}{488280}$. D) $\frac{3125}{488281}$. Show Answer Correct Answer: B) $\frac{488281}{3125}$. 59. A$_{1}$ =-4, a$_{8}$ = 38a) Find the common differenceb) Find the n-th term of the arithmetic sequencec) Find a$_{20}$ A) D = 6b) a$_{n}$ = 6n-10c) 110. B) D = 5b) a$_{n}$ = 5n-10c) 110. C) D = 6b) a$_{n}$ =-4 + 6n c) 100. D) D = 5b) a$_{n}$ =-4 + 5n c) 100. Show Answer Correct Answer: A) D = 6b) a$_{n}$ = 6n-10c) 110. 60. Find the 10th term of the equation a$_{n}$ = 2n$^{2}$ + 3n + 4 A) 232. B) 235. C) 233. D) 234. Show Answer Correct Answer: D) 234. ← 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