This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 17 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 17 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Evaluate the geometric series below:4-16 + 64-256 ..... , S9 A) 209716. B) 223444. C) 230679. D) 204516. Show Answer Correct Answer: A) 209716. 2. In a geometric sequence, if a1 = 2 and r = 3, what is the value of a4? A) 6. B) 24. C) 12. D) 54. Show Answer Correct Answer: D) 54. 3. Find the sum of the first 4 terms of the geometric series 1 + 0.5 + 0.25 +? A) 1.875. B) 0.125. C) 1.75. D) None of these. Show Answer Correct Answer: A) 1.875. 4. What is the formula to find the sum of the first n terms of an arithmetic sequence? A) S = (n/2)(2a + d). B) S = (n/2)(a + (n-1)d). C) S = (n/2)(2a + (n-1)d). D) S = n(2a + (n-1)d). Show Answer Correct Answer: C) S = (n/2)(2a + (n-1)d). 5. What is the 20th term if the general term of an arithmetic sequence is given by $a_n=15+5n$ A) 95. B) 190. C) 15. D) 115. Show Answer Correct Answer: D) 115. 6. What is the common ratio in this geometric sequence? A) 1/2. B) 24. C) 12. D) 2. Show Answer Correct Answer: A) 1/2. 7. Given a$_{1}$=5 and a$_{2}$=11, write the explicit arithmetic formula and solve for a$_{15}$ A) 159. B) 81. C) 95. D) 89. Show Answer Correct Answer: D) 89. 8. Find the sum of the series $\sum_{n=1}^42\left(2\right)^n$ A) 58. B) 60. C) 62. D) 124. Show Answer Correct Answer: B) 60. 9. Find the sum:3 + 3.3 + 3.6 + 3.9 + 4.2 + ..... + 63 A) 6633. B) 6600. C) 6666. D) None of the above. Show Answer Correct Answer: A) 6633. 10. Which of the following set is closed set? A) (1, 2]. B) A finite set. C) Set of natural numbers. D) [1, 2). Show Answer Correct Answer: B) A finite set. 11. Find the sum of the arithmetic sequence:3, 7, 11, 15, 19, 23, 27 A) 50. B) 105. C) 120. D) 90. Show Answer Correct Answer: C) 120. 12. Write the equation for the arithmetic sequence with the following terms:a$_{14}$ =-36, a$_{22}$ =-52 A) A =-8n-10. B) A =-8n-2. C) A =-2n-8. D) A =-2n-10. Show Answer Correct Answer: C) A =-2n-8. 13. $\sum_{k=4}^9\left(\frac{2}{k+1}\right)$ A) 0.2000. B) 5.8579. C) 3.8579. D) 1.6913. E) 1.4913. Show Answer Correct Answer: D) 1.6913. 14. Find the equation for the geometric sequence with the following terms:a$_{2}$ =-12, a$_{5}$ =-96 A) A$_{n}$ =-6(2)$^{n-1}$. B) A$_{n}$ = 2(-6)$^{n}$. C) A$_{n}$ =-6(2)$^{n}$. D) A$_{n}$ = 2(-6)$^{n-1}$. Show Answer Correct Answer: A) A$_{n}$ =-6(2)$^{n-1}$. 15. Is this sequence arithmetic, geometric, or neither?1, 2, 6, 24, 120, ..... A) Arithmetic. B) Geometric. C) Neither. D) None of the above. Show Answer Correct Answer: C) Neither. 16. Find the nth partial sum of the geometric series with a1 = 5, r = 3, n = 4. A) 187. B) 200. C) 197. D) 234. Show Answer Correct Answer: B) 200. 17. Find the sum:1 + 4 + 7 + ..... + 142 A) 5432. B) 3432. C) 2964. D) 2434. Show Answer Correct Answer: B) 3432. 18. Find the Future value of an investment of $ 8 500 at an interest rate of 4.5% compounded annually, after 10 years. A) $ 21 530.11. B) $ 5 363.55. C) $ 13 052.27. D) $ 13 200.24. Show Answer Correct Answer: D) $ 13 200.24. 19. Given:14, 17, 31, ..... What is the next term of the sequence? A) 34. B) 37. C) 48. D) 45. Show Answer Correct Answer: C) 48. 20. The second term of the arithmetic sequence is 5 and the fifth term is 14.The 20th term of the arithmetic sequence is ..... A) 62. B) 63. C) 59. D) None of the above. Show Answer Correct Answer: C) 59. 21. Find the sum of the arithmetic progressions 7, 9, 11, ..... , 79. (Hint:find Tn first) A) 1590. B) 1591. C) -1590. D) -1591. Show Answer Correct Answer: B) 1591. 22. Find the sum of all multiples of 3 between 100 and 400. A) 25, 050. B) 25, 150. C) 25, 100. D) 25, 000. Show Answer Correct Answer: A) 25, 050. 23. What is the next term in the geometric sequence 4, -16, 64, ..... ? A) -192. B) -256. C) -266. D) -128. Show Answer Correct Answer: B) -256. 24. Find the first four terms of the sequence given the rule:g$_{n}$ = 4(5)$^{n-1}$ A) 4, 20, 100, 500. B) 20, 100, 500, 2500. C) 5, 20, 80, 320. D) 4, 9, 14, 19. Show Answer Correct Answer: A) 4, 20, 100, 500. 25. Write a recursive formula for the following sequence:10, 5, 0, -5, ..... A) A$_{1}$= 10a$_{n}$= a$_{n}$ (5). B) A$_{1}$= 10a$_{n}$= a$_{n-1}$ + 5. C) A$_{1}$= 10a$_{n}$= a$_{n-1}$-5. D) A$_{1}$= 10a$_{n}$= a$_{n-1}$ (5). Show Answer Correct Answer: C) A$_{1}$= 10a$_{n}$= a$_{n-1}$-5. 26. Find the sum of the infinite geometric series:1 + 1/5 + 1/25 + ..... A) 9/5. B) 5/6. C) 65/27. D) 5/4. Show Answer Correct Answer: D) 5/4. 27. The sum of the first 6 terms of an arithmetic sequence is-42. If the 17th term of the sequence is-88, then the common difference of the sequence is A) -6. B) 8. C) -8. D) 6. Show Answer Correct Answer: A) -6. 28. A polynomial consisting of 1 term is known as a ..... A) Trinomial. B) Monomial. C) Astronomial. D) Binomial. Show Answer Correct Answer: B) Monomial. 29. Find a$_{20}$ in the arithmetic sequence:5, 12, 19, 26 ..... A) 142. B) 144. C) 138. D) 145. Show Answer Correct Answer: C) 138. 30. What type of sequence is this:1, 5, 25, 125, 625, 3125, ..... A) Geometric. B) Arithmetic. C) Quadratic. D) None of the above. Show Answer Correct Answer: A) Geometric. 31. What is the common difference of this arithmetic sequence? 1, 4, 7, 10, ..... A) 4. B) 3. C) 2. D) 5. Show Answer Correct Answer: B) 3. 32. What is the explicit formula for an arithmetic sequence? A) A$_{1 +}$(n-1)(d). B) A(n-1) + f. C) A$_{1}$(r)$^{n-1}$. D) A(n-1) + r. Show Answer Correct Answer: A) A$_{1 +}$(n-1)(d). 33. Find the 4th term for the sequence defined by a$_{1}$=9; a$_{n}$=a$_{n-1}$+8 A) 35. B) 17. C) 33. D) 41. Show Answer Correct Answer: C) 33. 34. Ms Preston works in a gym. At the start of her shift there were 20 people in the gym. Every hour five more people came into the gym. If Ms Preston worked for 4 hours how many people were in the gym at the end of her shift? A) 80 gyms. B) 40 people. C) 40 gyms. D) 80 people. Show Answer Correct Answer: B) 40 people. 35. Find the next two numbers in the sequence below:4, 7, 10, 13, ..... , ..... A) 16 and 18. B) 15 and 19. C) 16 and 19. D) 15 and 18. Show Answer Correct Answer: C) 16 and 19. 36. What is the fifth term of the geometric sequence?5, 15, 45, ..... A) 135. B) 1215. C) 1875. D) 405. Show Answer Correct Answer: D) 405. 37. A display of cans on a grocery shelf consists of 20 cans on the bottom, 18 cans in the next row, 16 cans in the next row and so on in an arithmetic sequence, until the top row has 4 cans.How many rows are there on the display? A) 7 rows. B) 10 rows. C) 8 rows. D) 9 rows. Show Answer Correct Answer: D) 9 rows. 38. Insert three arithmetic means between 23 and 7. A) 20, 16, 12. B) 19, 15, 11. C) 18, 14, 10. D) None of these. Show Answer Correct Answer: B) 19, 15, 11. 39. Find the sum of the integers from 34 to 62. A) 3906. B) 1392. C) 2784. D) 1953. Show Answer Correct Answer: B) 1392. 40. What is $\sum_{n=1}^4\left[7\left(-2\right)^{\left(n-1\right)}\right]$ A) 35. B) -28. C) 28. D) -35. Show Answer Correct Answer: D) -35. 41. The sum of 7 terms of the G.P 3, 6, 12, ..... is A) 379. B) 381. C) 382. D) 380. Show Answer Correct Answer: B) 381. 42. Solve:A gardener plants 12 flowers every day. If he already has 24 flowers in his garden, how many total days will it take for him to have 108 flowers in his garden? A) 7. B) 9. C) 8. D) 10. Show Answer Correct Answer: A) 7. 43. $a_n=\left(-1\right)^n\left(2n-3\right)$ $a_{14}$ A) -23. B) -3. C) 25. D) 31. E) 26. Show Answer Correct Answer: C) 25. 44. $-3, \\6, \-12, \\24, \ ..... $ A) -2. B) 2. C) 3. D) $\frac{1}{2}$. Show Answer Correct Answer: A) -2. 45. Which one is an example of an arithmetic sequence? A) 2, 4, 6, 8 12, 14. B) 1, 4, 9, 16, 25. C) 1, 2, 3, 4, 5, 6. D) 1, 3, 9, 27, 81. Show Answer Correct Answer: C) 1, 2, 3, 4, 5, 6. 46. Inday earned 240 pesos in the first week, 350 in the second week and 460 in the third week, and so on in an arithmeticsequence. How much did he earn in the 5th week? A) 900. B) 790. C) 570. D) 680. Show Answer Correct Answer: D) 680. 47. Determine the type of the sequence 200, -100, 50, -25 A) Arithmetic. B) Both. C) Geometric. D) Neither. Show Answer Correct Answer: C) Geometric. 48. Classify the following sequence as arithmetic, geometric, or neither:1, 1, 2, 3, 5, 8, 13, ..... A) Arithmetic. B) Geometric. C) Neither. D) None of the above. Show Answer Correct Answer: C) Neither. 49. What is the 7th term in the following sequence? 67, 61, 55, 49 ..... A) 31. B) 53. C) 37. D) 43. Show Answer Correct Answer: A) 31. 50. Find the n$^{th}$ term for the following quadratic sequence ..... 7, 13, 23, 37, 55 ..... A) 2n$^{2}$ + 5n. B) N$^{2}$-5. C) N$^{2}$ + 5. D) 2n$^{2}$ + 5. Show Answer Correct Answer: D) 2n$^{2}$ + 5. 51. Identify the degree of 4x$^{3}$-5x$^{2}$ + 2x-1. A) 4. B) 1. C) 2. D) 3. Show Answer Correct Answer: D) 3. 52. Charlie Damelon and Billie Eyelash decide to make a joint Tik Tok account. On the first day of their live account, they had 1.2 million followers. By the end of the seventh day, their account has 28.2 million followers. How many followers did they gain per day? A) 4.5 million. B) 4.9 million. C) 3.8 million. D) 3.4 million. Show Answer Correct Answer: A) 4.5 million. 53. What is the twelfth term in the sequence 3, -6, 12, ..... ? A) -531, 441. B) -2, 048. C) 6, 144. D) -6, 144. Show Answer Correct Answer: D) -6, 144. 54. Determine whether the sequence is arithmetic, geometric, or neither. A) Arithmetic. B) Geometric. C) Neither. D) None of the above. Show Answer Correct Answer: A) Arithmetic. 55. Find $a_{45}$ $\left\{-2, \-\frac{7}{4}, -\frac{3}{2}, \-\frac{5}{4}\, -1, \ ..... \right\}$ A) $a_{45}=118$. B) $a_{45}=\frac{25}{4}$. C) $a_{45}=6$. D) $a_{45}=9$. Show Answer Correct Answer: D) $a_{45}=9$. 56. Insert 5 arithmetic means in the sequence-3, ..... , ..... , ..... , ..... , ..... , 12 A) . B) . C) . D) . Show Answer Correct Answer: A) . 57. Identify the common difference or ratio.3, 7, 11, 15, ..... A) Difference, 4. B) Ratio, 4. C) Ratio, -4. D) Difference, -4. Show Answer Correct Answer: A) Difference, 4. 58. The first term in the pattern is 13. Which expression can be used to find the nth term in this pattern? 13, 5, -3, -11, -19, ..... A) -13n + 8. B) N-8. C) -8n + 13. D) -8n + 21. Show Answer Correct Answer: D) -8n + 21. 59. Calculate the simple interest on a loan of $ 10, 000 with a rate of 6.8% for 8 years. A) $ 544000. B) $ 15440. C) $ 5440. D) $ 54400. Show Answer Correct Answer: C) $ 5440. 60. Determine whether the sequence is geometric. If so, find the common ratio.4, 8, 16, 32, ..... A) Not geometric. B) 2. C) 1/2. D) -1. Show Answer Correct Answer: B) 2. ← 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