This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 15 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 15 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Create the explicit formula for the sequence:2, 8, 14, ..... (Hint:Write your formula and then simplify it.) A) A$_{n}$=2+6n. B) A$_{n}$=-6+6n. C) A$_{n}$=6n-4. D) A$_{n}$=4-6n. Show Answer Correct Answer: C) A$_{n}$=6n-4. 2. Write the recursive definition for the following geometric sequence:48, 72, 108, 162, 243 ..... A) $a_n=48\left(\frac{3}{2}\right)^{n-1}$. B) $a_n=48\left(\frac{5}{2}\right)^{n-1}$. C) $a_1=48$ $a_n=a_{n-1}\times\left(\frac{5}{3}\right)$. D) $a_1=48$ $a_n=a_{n-1}\times\left(\frac{3}{2}\right)$. Show Answer Correct Answer: D) $a_1=48$ $a_n=a_{n-1}\times\left(\frac{3}{2}\right)$. 3. Evaluate the sum of the geometric sequence 1 + 2 + 4 + 8 ..... , n = 6 A) 63. B) 60. C) 46. D) 56. Show Answer Correct Answer: A) 63. 4. On the first day posted online a music video got 320 views. The number of views increased each day by 5%. How many TOTAL views will the video get over the first 29 days? Which formula works? A) $S_n=\frac{320-320\left(.95\right)^{29}}{1-.95}$. B) $a_n=320\left(1.05\right)^{29}$. C) $S_n=\frac{320-320\left(1.05\right)^{29}}{1-1.05}$. D) $a_n=320\left(.95\right)^{29}$. Show Answer Correct Answer: C) $S_n=\frac{320-320\left(1.05\right)^{29}}{1-1.05}$. 5. What is the common ratio for the following sequence:3, 15, 75, 375, ..... A) 12. B) 1/5. C) 5. D) 3. Show Answer Correct Answer: C) 5. 6. A display of cans on a grocery shelf consists of 200 cans on the bottom, 194 cans in the next row, and so on in an arithmetic sequence, until the top row has 14 cans. How many cans, in total, are in the display? A) 2800 cans. B) 6848 cans. C) 1498 cans. D) 3424 cans. Show Answer Correct Answer: D) 3424 cans. 7. Determine the sum of the infinite geometric series with t$_{1}$ = 2 and r = 1/5 A) $\frac{1}{3}$. B) $\frac{5}{3}$. C) $-\frac{1}{2}$. D) $\frac{5}{2}$. Show Answer Correct Answer: D) $\frac{5}{2}$. 8. Find the 29th term in the arithmetic sequence-9, -4, 1, 6, ..... A) 126. B) 136. C) 121. D) 131. Show Answer Correct Answer: D) 131. 9. What is the formula for an arithmetic series? A) $a_n=a_1+d\left(n+1\right)$. B) $S_n=\frac{n}{2}\left(a_1+a_n\right)$. C) $S_n=\frac{n}{2}\left(a_1-a_n\right)$. D) $a_n=a_1+d\left(n-1\right)$. Show Answer Correct Answer: B) $S_n=\frac{n}{2}\left(a_1+a_n\right)$. 10. Find the SUM of the first four terms of the geometric sequence that begins with 1 with a common ratio of 3. A) 25. B) 37. C) 40. D) 80. Show Answer Correct Answer: C) 40. 11. The sum of this arithmetic series is 595. a$_{1}$=28, and a$_{n}$=91. How many terms are there (what is n)? A) 9. B) 10. C) 11. D) 12. Show Answer Correct Answer: B) 10. 12. Evaluate the infinite geometric series:1 + $\frac{1}{5}$ $\frac{1}{25}$ A) $\frac{5}{4}$. B) $\frac{5}{6}$. C) $\frac{9}{4}$. D) 1'. Show Answer Correct Answer: A) $\frac{5}{4}$. 13. What is the rule for the nth term of the arithmetic sequence with a fourteenth term of 9 and a common difference of 2? A) 2n + 11. B) 2n-9. C) 2n-19. D) 2n + 11. Show Answer Correct Answer: C) 2n-19. 14. Which term of the arithmetic sequence 4, 1, -2, -5 ..... is-29? A) 9th term. B) 10th term. C) 11th term. D) 12th term. Show Answer Correct Answer: D) 12th term. 15. Which formula would determine the SUM of the first 8 terms of the following sequence? 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) $S_n=\frac{75-75\left(.94\right)^8}{1-.94}$. 16. Find the next term of this sequence:10, 8, 5, 1, ..... A) -6. B) -5. C) -4. D) -3. Show Answer Correct Answer: A) -6. 17. Given the following two terms of a geometric sequence, write the explicit formula. $a_4=80;\\a_7=640$ A) $t\left(n\right)=5\left(2\right)^n$. B) $t\left(n\right)=2\left(5\right)^n$. C) $t\left(n\right)=2\left(10\right)^n$. D) $t\left(n\right)=10\left(2\right)^n$. Show Answer Correct Answer: A) $t\left(n\right)=5\left(2\right)^n$. 18. What is the 7th term in the sequence7, 11, 15, ..... ? A) 30. B) 31. C) 32. D) 33. Show Answer Correct Answer: B) 31. 19. Find the sum of the arithmetic series where a$_{21 }$=145, d = 5, a$_{1}$ = 45 A) 1890. B) 2100. C) 1995. D) 1050. Show Answer Correct Answer: C) 1995. 20. Evaluate S$_{n}$ for the series 34 + 29 + 24 + 19 + ..... , for the first 80 terms (i.e., n = 80). A) -18520. B) -2325. C) -13080. D) -26160. Show Answer Correct Answer: C) -13080. 21. Jenny has $ 40 in her savings account. She adds $ 10 per week. How many weeks will it take for her to have $ 100 in her savings account? A) 7 weeks. B) 8 weeks. C) 6 weeks. D) 5 weeks. Show Answer Correct Answer: C) 6 weeks. 22. What is geometric mean of 4 and 9? A) 5. B) 6. C) 7. D) 8. Show Answer Correct Answer: B) 6. 23. Which sequence is NOT an arithmetic sequence? A) 12, 18, 24, 30, . B) 10, 3, -4, -11, . C) 2, 4, 8, 16, . D) 16, 20, 24, 28, . Show Answer Correct Answer: C) 2, 4, 8, 16, . 24. Find the sum of the infinite geometric series, if it exists. $\sum_{n=1}^{\infty}8\left(\frac{1}{5}\right)^{n-1}$ A) 8. B) 8/5. C) 10. D) Does not exist. Show Answer Correct Answer: C) 10. 25. Write the recursive formula for 4, 8, 12 ..... A) A$_{n}$=a$_{n-1}$-7. B) A$_{n}$=a$_{n-1}$-4. C) A$_{n}$=a$_{n-1}$+3. D) A$_{n}$=a$_{n-1}$+4. Show Answer Correct Answer: D) A$_{n}$=a$_{n-1}$+4. ← 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