This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 5 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 5 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The sum of arithmetic progression 2, 5, 8, ..... , up to 50 terms is A) 3557. B) 3757. C) 3575. D) 3775. Show Answer Correct Answer: D) 3775. 2. What is the sum of the first 20 perfect squares? A) 3, 311. B) 2, 870. C) 2, 479. D) 1, 240. Show Answer Correct Answer: B) 2, 870. 3. Calculate the common difference in the arithmetic sequence:17, 14, 11, 8, ..... A) 5. B) 0. C) 10. D) -3. Show Answer Correct Answer: D) -3. 4. There are 7 arithmetic means between a$_{1}$ and a$_{8}$ A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 5. Evaluate the limit, or state that the limit does not exist 7x$^{2}$$^{ }$ 5x$^{2}$+2x A) 0. B) 7/5. C) DNE. D) Does anyone really know?. Show Answer Correct Answer: B) 7/5. 6. If the 5th term of a GP is 2, the product of its first nine terms is A) 256. B) 128. C) 512. D) None of these. Show Answer Correct Answer: C) 512. 7. Which of the following equations is the rule for this sequence:6, 11, 16, 21, ..... A) A$_{n}$ = 6 + 5(n-1). B) A$_{n}$ = 4 + 6(n-1). C) A$_{n}$ = 6-4(n-1). D) None of the above. Show Answer Correct Answer: A) A$_{n}$ = 6 + 5(n-1). 8. What are the first four terms of the sequence? a$_{n}$ = 1/(n$^{2}$-1) A) Undefined. B) Undefined, 1/3, 1/8, 1/15. C) 0, 1/3, 1/8, 1/15. D) 0, 3, 8, 15. Show Answer Correct Answer: B) Undefined, 1/3, 1/8, 1/15. 9. What is the difference between an arithmetic sequence and a geometric sequence? A) One is the sum of the numbers and one is just a list of numbers. B) One has a common difference and one has a common ratio. C) One you can write an nth term and one you cannot. D) None of these are correct. Show Answer Correct Answer: B) One has a common difference and one has a common ratio. 10. What kind of sequence is it? A) Geometric Sequence. B) Cube number sequence. C) Arithmetic Sequence. D) Indices Sequence. E) Multiple of three sequence. Show Answer Correct Answer: A) Geometric Sequence. 11. Which is the Fibonacci sequence? A) 0, 1, 3, 7, 15, 33, . B) 1, 1, 2, 3, 5, 8, 13, . C) 2, -2, 2, -2, 2, -2, . D) 1, 1/3, 1/9, 1/27, 1/81, . Show Answer Correct Answer: B) 1, 1, 2, 3, 5, 8, 13, . 12. Given an arithmetic sequence where a$_{32}$ = $_{}$109 and a$_{46}$ = 193, find a$_{311}$. A) -77. B) 1783. C) 295. D) 1860. Show Answer Correct Answer: B) 1783. 13. The sixth term of a geometric sequence is 1215 and the third term is 45. Find the first term. A) 6. B) 5. C) 8. D) 7. Show Answer Correct Answer: B) 5. 14. Bricks are stacked in a pile with 24 bricks on the bottom row and 15 on the top row with each row having one more brick than the one above it. How many rows are there in all? A) 7. B) 9. C) 8. D) 10. Show Answer Correct Answer: D) 10. 15. Which pattern has a common difference of 4? A) 1, 4, 7, 10, 13. B) 1, 5, 10, 16, 23. C) 1, 5, 9, 13, 17. D) 1, 4, 16, 64, 256. Show Answer Correct Answer: C) 1, 5, 9, 13, 17. 16. Write the simplified explicit formula for the arithmetic sequence:{2, 8, 14, ..... } A) A$_{n}$=4-6n. B) A$_{n}$=6n-4. C) A$_{n}$=2+6n. D) A$_{n}$=-6+6n. Show Answer Correct Answer: B) A$_{n}$=6n-4. 17. Determine the 7th term of the geometric sequence:2, 6, 18, 54, ..... A) 1324. B) 1358. C) 1408. D) 1458. Show Answer Correct Answer: D) 1458. 18. When the 2nd differences are constant, the relationship is ..... A) Exponential. B) Linear. C) Quadratic. D) Linaer. Show Answer Correct Answer: C) Quadratic. 19. Your tractor costs $ 40, 000 and depreciates at 8% per year. What is it worth after 4 years? A) $ 11344. B) $ 25600. C) $ 27200. D) $ 28656. E) $ 54420. Show Answer Correct Answer: D) $ 28656. 20. Given that the sum of the first n terms of a sequence is, find the 20th term of the sequence. A) 5900. B) 580. C) 610. D) 6510. Show Answer Correct Answer: B) 580. 21. The formula for a sequence that uses operations on a previous term to find the next term is called a/an: A) Arithmetic Formula. B) Geometric Formula. C) Explicit Formula. D) Recursive Formula. Show Answer Correct Answer: D) Recursive Formula. 22. Which recursive formula best describes the following sequence:{3, 8, 13, 18, 23 ..... } A) A$_{n}$ = a$_{n-1}$+5 ; a$_{1 }$=3. B) A$_{n}$ = a$_{n-1}$+3 ; a$_{1 }$=5. C) A$_{n}$ = (3)$^{n-1}$ ; a$_{1 }$=5. D) A$_{n}$ = (5)$^{n-1}$ ; a$_{1 }$=3. Show Answer Correct Answer: A) A$_{n}$ = a$_{n-1}$+5 ; a$_{1 }$=3. 23. Which lists four consecutive terms of an arithmetic sequence? A) 1, 4, 9, 16, . B) 1, 2, 4, 8, . C) -5, 6, 10, 13, . D) 3, 10, 17, 24, . Show Answer Correct Answer: D) 3, 10, 17, 24, . 24. Write the nth term formula:3.5 + 7 + 14 + 28 + 56 A) A$_{n}$ = 3.5(0.5)$^{n-1}$. B) A$_{n}$ = 3.5 + 3.5(n-1). C) A$_{n}$ = 3.5 + 2(n-1). D) A$_{n}$ = 3.5(2)$^{n-1}$. Show Answer Correct Answer: D) A$_{n}$ = 3.5(2)$^{n-1}$. 25. What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47 + ..... ? A) 19, 125. B) 18, 475. C) 18, 235. D) 1, 600. Show Answer Correct Answer: B) 18, 475. 26. The recursive formula can only be used if you know the previous term. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 27. If two geometric means are inserted between $3a^2$ $24a^8$ A) $6a^6$. B) $6a^4$. C) $12a^6$. D) $12a^4$. Show Answer Correct Answer: C) $12a^6$. 28. What kind of sequence is this:17, 9, 1, -7, ..... A) Arithmetic. B) Geometric. C) Other. D) None of the above. Show Answer Correct Answer: A) Arithmetic. 29. The sum of the 3rd term and the 4th term of a geometric sequence with positive terms is 576 while the sum of the 5th term and the 6th term of the sequence is 8. The common ratio of the sequence is A) $\frac{\sqrt{2}}{12}$. B) $\frac{1}{12}$. C) $\frac{1}{72}$. D) $\frac{\sqrt{2}}{2}$. Show Answer Correct Answer: A) $\frac{\sqrt{2}}{12}$. 30. In mathematics, we think of a/an ..... as a list of numbers or terms. A) Sum. B) Series. C) Sequence. D) Solution. Show Answer Correct Answer: C) Sequence. 31. A bacteria model shows the number of bacterial cells over time. The first hour there is 1 bacteria cell. The second hour there are 2 bacteria cells. The third hour there are 4 bacteria cells. The fourth hour there are 8 bacteria cells. How many bacteria cells will there be in 24 hours? A) 8, 388, 608. B) 16, 777, 216. C) 6, 223, 980. D) 4, 194, 304. Show Answer Correct Answer: A) 8, 388, 608. 32. Find the sum 24+48+72+ ..... +480 A) 5040. B) 5280. C) 10080. D) 9576. Show Answer Correct Answer: A) 5040. 33. 18, n, 162 ..... , what is the value of n? A) 54. B) 24. C) 44. D) 34. Show Answer Correct Answer: A) 54. 34. The limit point of the sequence 1, 2, 3, 4, ..... , n, ..... is A) $\infty$. B) $-\infty$. C) 1. D) 0. Show Answer Correct Answer: A) $\infty$. 35. Find two geometric means between 3 and 375. A) The geometric means are 1/15, 1/25. B) The geometric means are 15, 25. C) The geometric means are 15, 75. D) The geometric means are 1/15, 1/75. Show Answer Correct Answer: C) The geometric means are 15, 75. 36. Find the sum of the infinite geometric sequence:$\frac{1}{2}\, \-\frac{5}{3}\, \\frac{50}{9}\, \-\frac{500}{27}\, \ ..... $ A) 108.25. B) Does not exist. C) 205. D) 19.75. Show Answer Correct Answer: B) Does not exist. 37. What is the next term in the arithmetic sequence 13, 7, 1, -5, ..... A) -11. B) -1. C) -6. D) -13. Show Answer Correct Answer: A) -11. 38. A geometric sequence has a common ..... A) Difference. B) Ratio. C) All the above. D) None of the above. Show Answer Correct Answer: B) Ratio. 39. Consider a sequence generated by the formula below starting at n = 1. $f\left(n\right)=1\left(4\right)^{n-1}$ A) F(3) = 32f(4) = 64. B) F(3) = 16f(4) = 32. C) F(3) = 8f(4) = 16. D) F(3) = 4f(4) = 16. Show Answer Correct Answer: B) F(3) = 16f(4) = 32. 40. If you start a bank account with $ 100 and it gives an annual interest rate of 4%, how much will you have in that account in 12 years? A) $ 1200. B) $ 240. C) $ 160.10. D) $ 100. Show Answer Correct Answer: C) $ 160.10. 41. Mr. Whitman is in a 24-hour dance-a-thon as a part of a fundraiser. He raised $ 50 in the first hour of the competition, then another $ 60 in the second hour, then another $ 72 in the third hour. If this pattern continues, what will be the total amount of money he raises if he stays for the entire competition? A) $ 110, 432.01. B) $ 19, 624.21. C) $ 852.78. D) $ 14, 025.52. Show Answer Correct Answer: B) $ 19, 624.21. 42. Find the next three terms of the sequence:1.3, 3.8, 6.3, ..... A) 7.8, 8.3, 9.8. B) 8.8, 10.3, 12.8. C) 18.9, 56.7, 170.1. D) 6.8, 7.3, 7.8. Show Answer Correct Answer: B) 8.8, 10.3, 12.8. 43. The number of mosquitoes at the beginning of the summer was 4, 000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months? (Round to nearest whole number) A) 9766. B) 9006. C) 5433. D) 9765. Show Answer Correct Answer: A) 9766. 44. Write the recursive rule for the sequence{2, 6, 18, 54, ..... } A) A$_{1}$ = 2, a$_{n}$ = a$_{n-1}$ + 4. B) A$_{n}$=2(3)$^{n-1}$. C) A$_{1}$ = 3, a$_{n}$ = 2a$_{n-1}$. D) A$_{1}$ = 2, a$_{n}$ = 3a$_{n-1}$. Show Answer Correct Answer: D) A$_{1}$ = 2, a$_{n}$ = 3a$_{n-1}$. 45. Given the recursive formula:t$_{1}$=3; t$_{n}$=2t$_{n-1}$ what is the 4th term? A) 12. B) 96. C) 48. D) 24. Show Answer Correct Answer: D) 24. 46. A divergent sequence is ..... A) A set of numbers that don't approach a specific value. B) A vertical asymptote. C) A set of numbers that stay constant. D) A set of numbers that approach a specific value. Show Answer Correct Answer: A) A set of numbers that don't approach a specific value. 47. On which of the following series could a FINITE infinite sum be found? A) 10 + 5 + 0 +-5 + . B) 64 + 32 + 16 + 8 + . C) 1 + 3 + 6 + 10 + . D) 3 + 6 + 12 + 24 + . Show Answer Correct Answer: B) 64 + 32 + 16 + 8 + . 48. Write an explicit rule for the general term of the sequence 5, 15, 45, ..... ? A) A$_{n}$ = a$_{n-1}$ x 3. B) A$_{n}$ = 5(3)$^{n-1}$. C) A$_{n}$ = 5 + (n-1)3. D) A$_{n}$ = 3(5)$^{n-1}$. Show Answer Correct Answer: B) A$_{n}$ = 5(3)$^{n-1}$. 49. Find the sum:$\sum_{a=1}^4\left(-1\right)^a\left(2a\right)$ A) 1. B) $\infty$. C) 40. D) 4. Show Answer Correct Answer: D) 4. 50. The first term in an arithmetic sequence is-8 and the common difference is 14. What is the 28th term? A) -324. B) 1024. C) 370. D) 378. Show Answer Correct Answer: C) 370. 51. If the sum of the first n terms of an arithmetic series is given by $S_n = 3n^2 + 5n$ $a_1$ A) 1. B) 5. C) 8. D) 3. Show Answer Correct Answer: A) 1. 52. The first four trems of a sequence are11, 31, 59, 95What are the next two terms? A) 139, 191. B) 105, 205. C) 45, 67. D) -1, 9. Show Answer Correct Answer: A) 139, 191. 53. Find the number of terms in the arithmetic sequence ..... 9, 19, 29, ..... , 139 A) 13. B) 12. C) 14. D) 10. Show Answer Correct Answer: C) 14. 54. A coach wants to determine the seating capacity of a gymnasium with 18 seats on the first row, 20 on the second, 22 on the third. The sequence of the seating capacity per row continues until the 14th row. The proper formula to use based on this description is ..... A) Arithmetic Series. B) Geometric Sequence. C) Arithmetic Sequence. D) Geometric Series. Show Answer Correct Answer: A) Arithmetic Series. 55. Find the sum of the arithmetic series described:2 + (-2) + (-6) + (-10) ..... , S$_{10}$ A) -328. B) -320. C) -160. D) -336. Show Answer Correct Answer: C) -160. 56. A sequence is infinite if its domain is the set of positive integers without a last term . A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 57. Which of the following best describes the series $-50+-45+\left(-\frac{81}{2}\right)+\left(-\frac{729}{80}\right)+ ..... $ A) The series is convergent and has a sum of-500. B) The series is divergent and has a sum of-500. C) The series is divergent and has no sum. D) The series is convergent and has no sum. Show Answer Correct Answer: A) The series is convergent and has a sum of-500. 58. 3rd degree relationships may also be described as ..... A) Linear. B) Quadratic. C) Cubic. D) None. Show Answer Correct Answer: C) Cubic. 59. What is the nth term of the arithmetic series 3+7+11+15+19+ ..... A) 2n+1. B) 3+4n. C) 4n-1. D) 4n. Show Answer Correct Answer: C) 4n-1. 60. Find the sum:90 + 84 + 78 + ..... + 24 A) 627. B) 276. C) 741. D) 684. Show Answer Correct Answer: D) 684. ← 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 6Class 11 Mathematics Chapter 9 Sequences And Series Quiz 7Class 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