This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 12 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 12 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Find the sum 24+48+72+ ..... +480 A) 5280. B) 9576. C) 10080. D) 5040. Show Answer Correct Answer: D) 5040. 2. 18, n, 162 ..... , what is the value of n? A) 24. B) 34. C) 44. D) 54. Show Answer Correct Answer: D) 54. 3. The limit point of the sequence 1, 2, 3, 4, ..... , n, ..... is A) 1. B) 0. C) $\infty$. D) $-\infty$. Show Answer Correct Answer: C) $\infty$. 4. Find two geometric means between 3 and 375. A) The geometric means are 15, 25. B) The geometric means are 15, 75. C) The geometric means are 1/15, 1/25. D) The geometric means are 1/15, 1/75. Show Answer Correct Answer: B) The geometric means are 15, 75. 5. Find the sum of the infinite geometric sequence:$\frac{1}{2}\, \-\frac{5}{3}\, \\frac{50}{9}\, \-\frac{500}{27}\, \ ..... $ A) 205. B) 19.75. C) 108.25. D) Does not exist. Show Answer Correct Answer: D) Does not exist. 6. What is the next term in the arithmetic sequence 13, 7, 1, -5, ..... A) -1. B) -6. C) -11. D) -13. Show Answer Correct Answer: C) -11. 7. 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. 8. 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) = 4f(4) = 16. B) F(3) = 16f(4) = 32. C) F(3) = 8f(4) = 16. D) F(3) = 32f(4) = 64. Show Answer Correct Answer: B) F(3) = 16f(4) = 32. 9. 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) $ 160.10. C) $ 240. D) $ 100. Show Answer Correct Answer: B) $ 160.10. 10. 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) $ 19, 624.21. B) $ 14, 025.52. C) $ 852.78. D) $ 110, 432.01. Show Answer Correct Answer: A) $ 19, 624.21. 11. Find the next three terms of the sequence:1.3, 3.8, 6.3, ..... A) 6.8, 7.3, 7.8. B) 8.8, 10.3, 12.8. C) 18.9, 56.7, 170.1. D) 7.8, 8.3, 9.8. Show Answer Correct Answer: B) 8.8, 10.3, 12.8. 12. 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) 9765. D) 5433. Show Answer Correct Answer: A) 9766. 13. Write the recursive rule for the sequence\{2, 6, 18, 54, ..... \} A) A$_{n}$=2(3)$^{n-1}$. B) A$_{1}$ = 2, a$_{n}$ = a$_{n-1}$ + 4. C) A$_{1}$ = 2, a$_{n}$ = 3a$_{n-1}$. D) A$_{1}$ = 3, a$_{n}$ = 2a$_{n-1}$. Show Answer Correct Answer: C) A$_{1}$ = 2, a$_{n}$ = 3a$_{n-1}$. 14. Given the recursive formula:t$_{1}$=3; t$_{n}$=2t$_{n-1}$ what is the 4th term? A) 12. B) 24. C) 48. D) 96. Show Answer Correct Answer: B) 24. 15. A divergent sequence is ..... A) A vertical asymptote. B) A set of numbers that don't approach a specific value. C) A set of numbers that stay constant. D) A set of numbers that approach a specific value. Show Answer Correct Answer: B) A set of numbers that don't approach a specific value. 16. On which of the following series could a FINITE infinite sum be found? A) 1 + 3 + 6 + 10 + . B) 3 + 6 + 12 + 24 + . C) 10 + 5 + 0 +-5 + . D) 64 + 32 + 16 + 8 + . Show Answer Correct Answer: D) 64 + 32 + 16 + 8 + . 17. 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$_{n}$ = 3(5)$^{n-1}$. D) A$_{n}$ = 5 + (n-1)3. Show Answer Correct Answer: B) A$_{n}$ = 5(3)$^{n-1}$. 18. Find the sum:$\sum_{a=1}^4\left(-1\right)^a\left(2a\right)$ A) 40. B) 1. C) $\infty$. D) 4. Show Answer Correct Answer: D) 4. 19. The first term in an arithmetic sequence is-8 and the common difference is 14. What is the 28th term? A) 378. B) 1024. C) -324. D) 370. Show Answer Correct Answer: D) 370. 20. If the sum of the first n terms of an arithmetic series is given by $S_n = 3n^2 + 5n$ $a_1$ A) 8. B) 5. C) 3. D) 1. Show Answer Correct Answer: D) 1. 21. The first four trems of a sequence are11, 31, 59, 95What are the next two terms? A) -1, 9. B) 45, 67. C) 105, 205. D) 139, 191. Show Answer Correct Answer: D) 139, 191. 22. Find the number of terms in the arithmetic sequence ..... 9, 19, 29, ..... , 139 A) 10. B) 12. C) 13. D) 14. Show Answer Correct Answer: D) 14. 23. 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 Sequence. B) Arithmetic Series. C) Geometric Sequence. D) Geometric Series. Show Answer Correct Answer: B) Arithmetic Series. 24. Find the sum of the arithmetic series described:2 + (-2) + (-6) + (-10) ..... , S$_{10}$ A) -160. B) -328. C) -320. D) -336. Show Answer Correct Answer: A) -160. 25. 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. ← PreviousNext →Related 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 8Class 11 Mathematics Chapter 9 Sequences And Series Quiz 9Class 11 Mathematics Chapter 9 Sequences And Series Quiz 10 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books