This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 11 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 11 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Determine the 10th term. $2\left(3\right)^{\left(n-1\right)}$ A) -39366. B) 39366. C) 369. D) 66393. Show Answer Correct Answer: B) 39366. 2. Find the n$^{th}$ term of the following sequence ..... 5, 9, 13, 17 ..... A) N-4. B) 4n-1. C) N+4. D) 4n+1. Show Answer Correct Answer: D) 4n+1. 3. A residential lot's value appreciates by 3% every year. If it was bought at 500, 000 php in the year 2006, how much will be its value in the year 2021? A) 778, 983.71 php. B) 888, 783.71 php. C) 978, 183.71 php. D) 987, 973.71 php. Show Answer Correct Answer: A) 778, 983.71 php. 4. A gardener makes a triangular planting with 40 plants in the front row, 36 in the second row, 32 in the third row, and so on. If the pattern is consistent, how many plants will there be in the 10$^{th}$ row? A) 12. B) 16. C) -6. D) 4. Show Answer Correct Answer: D) 4. 5. The population of Moore Haven, M, is expected to decrease by 3% over the next 10 years. Which expression show the expected population of Moore Haven in 10 years? A) $0.97$. B) $1-0.03M$. C) $M-0.03M$. D) $M-0.03$. Show Answer Correct Answer: C) $M-0.03M$. 6. What is T$_{1}$ in the following sequence?-6, -14, -22, -30, ..... A) -30. B) -22. C) -6. D) -14. Show Answer Correct Answer: C) -6. 7. What is the sum of the first 20 terms of the arithmetic sequence 2, 5, 8, 11, ..... ? A) 610. B) 590. C) 630. D) 650. Show Answer Correct Answer: C) 630. 8. Given $a_{26}=38, \\d=\frac{3}{2}$ $a_{35}$ A) 51.5. B) 53. C) 50. D) 54.5. Show Answer Correct Answer: A) 51.5. 9. Steven was given $ 2000 when he turned 2 years old. His parents invested it at a 2% interest rate compounded annually. No deposits or withdrawals were made. Which expression can be used to determine how much money Steven had in the account when he turned 18? A) 2000(1+0.02)$^{16}$. B) 2000(1-0.02)$^{18}$. C) 2000(1+0.02)$^{18}$. D) 2000(1-0.02)$^{16}$. Show Answer Correct Answer: A) 2000(1+0.02)$^{16}$. 10. Find the sum of an infinite geometric sequence 9, 3, 1, ..... A) Does Not Exist. B) $\frac{27}{3}$. C) $\frac{27}{2}$. D) 27. Show Answer Correct Answer: C) $\frac{27}{2}$. 11. Find the pattern:29, 21, 13, 5, ..... A) -8. B) -10. C) -7. D) -9. Show Answer Correct Answer: A) -8. 12. Write the rule for the nth term of the sequence. A) A$_{n}$ =-10n + 3. B) A$_{n}$ =-10n-3. C) A$_{n}$ = 3n-10. D) A$_{n}$ =-3n-10. Show Answer Correct Answer: C) A$_{n}$ = 3n-10. 13. What is the 76$^{th}$ term of the following arithmetic sequence?8, 14, 20, 26, ..... A) 476. B) 458. C) 76. D) 452. Show Answer Correct Answer: B) 458. 14. The 1st and 6th term of a geometric sequence are $-\frac{2}{9}$ $S_{11}$ A) -54. B) -19683. C) -3532. D) -594. Show Answer Correct Answer: B) -19683. 15. Up, down, left, right, up, down, ..... , right A) Down. B) Left. C) Up. D) Right. Show Answer Correct Answer: B) Left. 16. Evaluate the arithmetic series described:14 + 23 + 32 + 41 ..... , S$_{11}$ A) 1296. B) 1298. C) 2604. D) 649. Show Answer Correct Answer: D) 649. 17. The explicit rule is used to find a specific term in a sequence. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 18. Evaluate the arithmetic series described:a$_{1}$ = 5, a$_{n}$ = 145, Find S$_{15}$ A) 2250. B) 2258. C) 2255. D) 1125. Show Answer Correct Answer: D) 1125. 19. Is it possible to find the sum of all terms of the infinite geometric series with u$_{1}$ = 7 and r =-(5/4)? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 20. The 9th term of the G.P 1, 4, 16, 64, ..... is A) $4^9$. B) $4^7$. C) $4^8$. D) $4^{10}$. Show Answer Correct Answer: C) $4^8$. 21. Which of the following sequences has/have sum to infinity?I. 4, 8, 16, ..... II. 16, 8, 4, ..... III.-4, 4, -4, ..... A) I only. B) Ii only. C) I and III only. D) II and III only. Show Answer Correct Answer: B) Ii only. 22. What is the pattern?70, 60, 50, 40 A) Multiply 2. B) Add 10. C) Add 5. D) Subtract 10. Show Answer Correct Answer: D) Subtract 10. 23. For the arithmetic series (107) + (130) + (153) + ..... + (981), the values of $t_1$ A) $t_1=-107$. B) $t_1=-107$. C) $t_1=107$. D) $t_1=107$. Show Answer Correct Answer: C) $t_1=107$. 24. The rule for finding a$_{n}$ of a geometric sequence isa$_{n}$ = 10(2)$^{n-1 }$$_{What is the common ratio(r) of the sequence?}$ A) $^{2}$. B) 2$^{n}$. C) $^{20}$. D) $^{10}$. Show Answer Correct Answer: A) $^{2}$. 25. Write a recursive rule for the sequence 17, 1, -15, -31 ..... A) A$_{n}$ = a$_{n-1}$-15. B) A$_{n}$ = a$_{n-1}$-17. C) A$_{n}$ = a$_{n-1}$-16. D) A$_{n}$ = a$_{n-1}$ + 16. Show Answer Correct Answer: C) A$_{n}$ = a$_{n-1}$-16. 26. What is the sum of the first ten terms of the sequence 4, -12, 36, -108 ..... ? A) -59, 048. B) -78, 732. C) 118, 096. D) 59, 050. Show Answer Correct Answer: A) -59, 048. 27. An arithmetic sequence is given below.2, 9, 16, 23, ..... Which is the explicit formula for the n$^{th}$ term a$_{n?}$ A) A$_{n }$=-7n+9. B) A$_{n }$= 7n-5. C) A$_{n }$= 7n-9. D) A$_{n }$=-7n+5. Show Answer Correct Answer: B) A$_{n }$= 7n-5. 28. For the series, $\sum_{n=1}^{\infty}\frac{5}{10^n}$ A) 5 1/2. B) 555/1000. C) 555/100000. D) None of the above. Show Answer Correct Answer: B) 555/1000. 29. What is the sum of the infinite geometric series $\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+ ..... $ A) 2.5. B) 1.5. C) 2. D) 1. Show Answer Correct Answer: D) 1. 30. Write the recursive formula:-3, -9, -15, -21, ..... A) A$_{n}$ = a$_{n-1}$-6, a$_{1}$=-3. B) A$_{n}$ = a$_{n-1}$-6, a$_{1}$=-5. C) A$_{n}$ = a$_{n-1}$-4, a$_{1}$ =-11. D) A$_{n}$ = a$_{n-1}$-6, a$_{1}$=-11. Show Answer Correct Answer: A) A$_{n}$ = a$_{n-1}$-6, a$_{1}$=-3. 31. The 4th term of an arithmetic sequence is 14, and the 20th term is 110, What is the 34th term? A) 566. B) 490. C) 224. D) 194. Show Answer Correct Answer: D) 194. 32. Find the sum of the sequence:28 + 34 + 40 + 46 + 52 + ..... +88 A) 610. B) 550. C) 638. D) 288. Show Answer Correct Answer: C) 638. 33. A stack of telephone poles has 30 poles in the bottom row. There are 29 poles in the second row, 28 in the next row, and so on. How many poles are there in the 25$^{th}$ row? A) 16. B) 24. C) 6. D) 2. Show Answer Correct Answer: C) 6. 34. The sum of the geometric series 13 + 6.5 + 3.25 + ..... + 0.203125 is A) $\frac{1677}{64}$. B) $\frac{1651}{64}$. C) $\frac{819}{32}$. D) $\frac{559}{64}$. Show Answer Correct Answer: B) $\frac{1651}{64}$. 35. Which of the following statements is true to all geometric sequences? A) If the common ratio is negative, then the sequence is increasing. B) If the common ratio is negative, then all the terms of the sequence is also negative. C) . If the common ratio is less than one, then the sequence is decreasing. D) If the common ratio is less than one, then the sequence is increasing. Show Answer Correct Answer: C) . If the common ratio is less than one, then the sequence is decreasing. 36. Does the sequence a$_{n}$ = n$^{4}$/(n$^{3}$-n) converge or diverge? A) Diverge. B) Converge and the limit is 1. C) Converge and the limit is 0. D) Converge and the limit is 4/3. Show Answer Correct Answer: A) Diverge. 37. A certain bacteria grows at a rate of 3 cells every 2 minutes. If there were 260 cells initially, how many are there after 21 minutes? A) 576378. B) 260. C) 288.5. D) 864567. Show Answer Correct Answer: D) 864567. 38. Is this sequence arithmetic, geometric, or neither?{26, 22, 18, 14, ..... } A) Arithmetic. B) Geometric. C) Neither. D) None of the above. Show Answer Correct Answer: A) Arithmetic. 39. Find the 8th term in the sequence3, 5, 7, 9, 11, ..... A) 13. B) 15. C) 17. D) 19. Show Answer Correct Answer: C) 17. 40. A brick wall has 60 bricks in the first row, but each row has 3 fewer bricks than the previous one. How many bricks are in the 12th row? A) 32. B) 27. C) 30. D) 24. Show Answer Correct Answer: B) 27. 41. A pile of bricks has 97 bricks in the first row, 91 bricks in the second row, 85 bricks in the third row, and so on until there is only one brick in the top row.How many bricks are in the 15th row? A) 0 bricks. B) 13 bricks. C) 1 brick. D) 7 bricks. Show Answer Correct Answer: B) 13 bricks. 42. What are the next three terms of the sequence:9, 10, 11, ..... A) 11, 12, 13. B) 8, 7, 6. C) 13, 15, 17. D) 12, 13, 14. Show Answer Correct Answer: D) 12, 13, 14. 43. Find the sum of the first 9 terms of arithmetic progressions 21, 15, 9, ..... A) 20. B) -20. C) -27. D) 27. Show Answer Correct Answer: C) -27. 44. A formula that requires the computation of all previous terms to find the value of a$_{n}$. A) Arithmetic Formula. B) Recursive Formula. C) Explicit Formula. D) Geometric Formula. Show Answer Correct Answer: B) Recursive Formula. 45. The value by which a geometric sequence is altered. A) Common Ratio. B) Geometric Mean. C) Common Law. D) Geometric Sequence. Show Answer Correct Answer: A) Common Ratio. 46. $Evaluate:\\\sum_{i=1}^3\frac{i+2}{i}$ A) 3. B) 6. C) 9. D) None of the above. Show Answer Correct Answer: B) 6. 47. Evaluate each series described (n is the number of terms in the series):2 + 6 + 10 + 14 + ..... , n = 8 A) 128. B) 30. C) 256. D) 494. Show Answer Correct Answer: A) 128. 48. Find the sum:3 + 8 + 13 + 18 + ..... + 98 A) 1010. B) 140. C) 909. D) 959.5. Show Answer Correct Answer: A) 1010. 49. How many terms are there in a geometric series if the first term is 3, the common ratio is 4 and the sum is 1023? A) 7. B) 6. C) 5. D) 4. Show Answer Correct Answer: C) 5. 50. Calculate the sum of the first 4 terms of the geometric series $2, 6, 18, ..... $ A) 160. B) 80. C) 120. D) 242. Show Answer Correct Answer: B) 80. 51. Evaluate the arithmetic series described:0-7-14-21 ..... , S$_{}$$_{17}$ A) -1904. B) -959. C) -952. D) -1918. Show Answer Correct Answer: C) -952. 52. Given the sequence 35, 41, 47, 53, ..... , ..... , 71, insert two arithmetic means. A) 43 and 47. B) 59 and 65. C) 72 and 81. D) 90 and 97. Show Answer Correct Answer: B) 59 and 65. 53. $8+16+24+ ..... +1600$ A) 159, 200. B) 162, 408. C) 160, 800. D) 160, 792. Show Answer Correct Answer: C) 160, 800. 54. What is the next term in the geometric sequence 0.75, 3, 12, 48, ..... ? A) 192. B) 240. C) 144. D) 96. Show Answer Correct Answer: A) 192. 55. What sequence follows the formula a$_{}$$_{n }$=4n+11 A) 15, 26, 37, 48 . B) 11, 15, 19, 23 . C) 4, 15, 26, 37 . D) 15, 19, 23, 27 . Show Answer Correct Answer: A) 15, 26, 37, 48 . 56. S$_{n}$ = (n/2) (a$_{1}$ + a$_{n}$)What formula is this? A) Explicit Arithmetic Formula. B) Finite Arithmetic Series Formula. C) Explicit Geometric Formula. D) Finite Geometric Series Formula. Show Answer Correct Answer: B) Finite Arithmetic Series Formula. 57. Write the explicit equation for the geometric sequence:5, 15, 45, 135, ..... ? A) $t\left(n\right)=5n+3$. B) $t\left(n\right)=3\left(5\right)^{n-1}$. C) $t\left(n\right)=5\left(3\right)^{n-1}$. D) $t\left(n\right)=3n+5$. Show Answer Correct Answer: C) $t\left(n\right)=5\left(3\right)^{n-1}$. 58. The first term of a geometric sequence is 5 and the sixth term is 160.What is the common ratio A) 3. B) 2. C) 4. D) 1. Show Answer Correct Answer: B) 2. 59. Find the 23rd term of the sequence: A) 37. B) 36. C) 35. D) 39. Show Answer Correct Answer: A) 37. 60. A$_{1}$=5, a$_{2}$=11, a$_{15}$=? A) 89. B) 159. C) 95. D) 81. Show Answer Correct Answer: A) 89. ← 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