This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 21 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 21 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. A company produces 500 units of a product per day. If the production rate increases by 20% for the next 5 days, how many units will be produced in total during that period? A) 3720.8 units. B) 4200 units. C) 4000 units. D) 3500 units. Show Answer Correct Answer: A) 3720.8 units. 2. The third term of a geometric sequence is 96 and the fifth term is 1536. What is the sum of the first ten terms of the sequence? A) 4, 092. B) 1, 572, 864. C) 2, 097, 150. D) 33, 554, 400. Show Answer Correct Answer: C) 2, 097, 150. 3. -5, -2, 3, 10, ..... Find the 11th term of this sequence. A) 11. B) 115. C) 94. D) 138. Show Answer Correct Answer: B) 115. 4. Write a recursive formula for the sequence 17, 13, 9, 5 ..... A) A$_{n}$=a$_{n-1}$-4. B) A$_{n}$=a$_{n-1}$-17. C) A$_{n}$=a$_{n-1}$ +4. D) None of the above. Show Answer Correct Answer: A) A$_{n}$=a$_{n-1}$-4. 5. Which formula would determine the SUM of the first 8 terms of the following sequence?75, 70.5, 66.27, ..... A) $S_n=\frac{75-75\left(.94\right)^8}{1-.94}$. B) $S_n=\frac{75-75\left(1.06\right)^8}{1-1.06}$. C) $a_n=75\left(.94\right)^{8-1}$. D) $a_n=75\left(1.06\right)^{8-1}$. Show Answer Correct Answer: A) $S_n=\frac{75-75\left(.94\right)^8}{1-.94}$. 6. Find the common ratio of the geometric sequence:$2, \\frac{1}{2}, \\frac{1}{8}, \\frac{1}{32}, \ ..... $ A) $\frac{1}{3}$. B) $\frac{1}{12}$. C) $\frac{1}{16}$. D) $\frac{1}{4}$. Show Answer Correct Answer: D) $\frac{1}{4}$. 7. Find the 20th term of the sequence 5, 8, 11, ..... A) 62. B) 65. C) 71. D) 75. Show Answer Correct Answer: A) 62. 8. State the first 4 terms of a geometric sequence with a = 4 and r = 5 A) 4, 9, 14, 19. B) 4, 20, 100, 500. C) 5, 20, 80, 320. D) 4, 20, 36, 52. Show Answer Correct Answer: B) 4, 20, 100, 500. 9. What is the sum of the 11 terms of the arithmetic sequence 28, 34, 40, 46, 52, ..... , 88? A) 540. B) 600. C) 638. D) 724. Show Answer Correct Answer: C) 638. 10. What is the following sequence15, 30, 45, 60, 75, ..... A) +15 arithmetic. B) X2 geometric. C) X2 arithmetic. D) +15 geometric. Show Answer Correct Answer: A) +15 arithmetic. 11. You have inherited land that was purchased for $ 30, 000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011? A) $ 344, 022. B) $ 15, 000. C) $ 31, 500. D) $ 28, 500. Show Answer Correct Answer: A) $ 344, 022. 12. $-4-7-10 ..... 106=$ A) $-1925$. B) -1925 Mathematical EquivalenceOFF. C) All the above. D) None of the above. Show Answer Correct Answer: A) $-1925$. 13. A sailboat that costs $ 5, 950 decreases in value by 11% per year. How much will the boat be worth after 6 years? A) $ 5, 884.00. B) $ 5, 178.97. C) $ 2, 992.96. D) $ 2, 957.04. Show Answer Correct Answer: D) $ 2, 957.04. 14. What is the 100th term in the sequence a$_{n}$ = 4n-12 A) 388. B) 40012. C) -388. D) 100. Show Answer Correct Answer: A) 388. 15. Which of the following is the correct formula for finding the Arithmetic Series? A) $S_n=2n\left(a_1\cdot a_n\right)$. B) $S_n=2n\left(a_1+a_n\right)$. C) $S_n=\frac{n}{2}\left(a_1\cdot a_n\right)$. D) $S_n=\frac{n}{2}\left(a_1+a_n\right)$. Show Answer Correct Answer: D) $S_n=\frac{n}{2}\left(a_1+a_n\right)$. 16. Let a$_{n}$ be the nth term of a geometric sequence. It is given that a$_{6}$-a$_{5}$ = 8 and a$_{7}$-a$_{6}$ = 24. The common ratio is A) 2. B) 3. C) $\frac{1}{2}$. D) $\frac{1}{3}$. Show Answer Correct Answer: B) 3. 17. The cost of tuition at a college is $ 12, 000 and is increasing at a rate of 6% per year. What will the cost be after 4 years? A) $ 3149.72. B) $ 3149.72. C) $ 1472.95. D) $ 15149.72. Show Answer Correct Answer: D) $ 15149.72. 18. Calculate the sum of the first 15 terms of the arithmetic sequence where $a_1 = 7$ $d = 3$ A) 315. B) 330. C) 345. D) 360. Show Answer Correct Answer: C) 345. 19. What is the 67$^{th}$ term of the following arithmetic sequence.13, 22, 31, 40, ..... A) -445. B) 67. C) 625. D) 607. Show Answer Correct Answer: D) 607. 20. What is the 10th term of the arithmetic sequence 2, 5, 8, 11, ..... ? A) 29. B) 14. C) 20. D) 32. Show Answer Correct Answer: A) 29. 21. Is this sequence Arithmetic, Geometric, or Neither?\{14, 22, 30, 38, ..... \} A) Arithmetic. B) Geometric. C) Neither. D) None of the above. Show Answer Correct Answer: A) Arithmetic. 22. Given the sequence 30, 40, 50, 60 ..... , which recursive formula describes it? A) $t_1=30$ $t_n=t_{n-1}+10$. B) $t_1=10$ $t_n=t_{n-1}+30$. C) $t_n=10$ $t_1=t_{n-1}+30$. D) None of the above. Show Answer Correct Answer: A) $t_1=30$ $t_n=t_{n-1}+10$. 23. Which sequence is an arithmetic sequence? A) 3, 6, 2, 7, . B) 3, 6, 10, 15, . C) 3, 6, 12, 24, . D) 3, 7, 11, 15, . Show Answer Correct Answer: D) 3, 7, 11, 15, . 24. Determine the next 3 terms of the arithmetic sequence:14, 9, 4, -1, ..... A) -5, -10, -15. B) -4, -9, -14. C) -6, -11, -16. D) 5, 10, 15. Show Answer Correct Answer: C) -6, -11, -16. 25. 17, ..... is? A) Arithmetic. B) Geometric. C) All the above. D) None of the above. Show Answer Correct Answer: A) Arithmetic. ← 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