This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 14 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 14 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Find the sum of the infinite geometric series, if it exists:-3 +-3/2 +-3/4 +-3/8 ..... A) -6. B) -8. C) No sum. D) -4. Show Answer Correct Answer: A) -6. 2. Find the next three terms:4, 12, 36, 108, ..... A) 324, 972, 2916. B) 972, 2916, 8748. C) 405, 1215, 3645. D) 270, 675, 1687. Show Answer Correct Answer: A) 324, 972, 2916. 3. What are geometric sequences? A) Geometric sequences are sequences where you add or subtract the same number to get the next term. B) Geometric Sequences are sequences where you are multiplying or dividing by the same number to get the next term. C) All the above. D) None of the above. Show Answer Correct Answer: B) Geometric Sequences are sequences where you are multiplying or dividing by the same number to get the next term. 4. If a geometric series has 5 terms and the common ratio is 2, what is the number of terms ( $n$ A) 2. B) 4. C) 5. D) 10. Show Answer Correct Answer: C) 5. 5. A sequence is a list of numbers following some pattern. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 6. Evaluate $\lim_{x\rightarrow\infty}4\left(\frac{1}{2}\right)^n$ A) 4. B) 0.5. C) 0. D) $\infty$. Show Answer Correct Answer: C) 0. 7. Find explicit formula for this sequence and then find the value of the 22nd term:\{5, 8, 11, ..... \} A) 14. B) 68. C) 63. D) 71. Show Answer Correct Answer: B) 68. 8. The third term of a geometric progression is 128 and the seventh term is 40.5. Find the fifth term and the sum to infinity. A) $T_5=-72;\S_{\infty}=910.22$. B) $T_5=72;\S_{\infty}=910.22$. C) $T_5=72;\S_{\infty}=-910.22$. D) $T_5=-72;\S_{\infty}=-910.22$. Show Answer Correct Answer: B) $T_5=72;\S_{\infty}=910.22$. 9. Evaluate the arithmetic series described:a$_{1}$ = 12, a$_{n}$ = 64, Find S$_{14}$ A) 1082. B) 532. C) 541. D) 1064. Show Answer Correct Answer: B) 532. 10. The formula for the nth term of the sequence 5, -2, -9, -16, ..... is ..... A) 12-7n. B) 5-7n. C) -2-7n. D) None of the above. Show Answer Correct Answer: A) 12-7n. 11. Find the sum of the first 25 terms of this sequence:\{3, 7, 11, 15, ..... \} A) 1098. B) 1250. C) 1550. D) 1275. Show Answer Correct Answer: D) 1275. 12. Find the sum of the following infinite geometric series. $-9+8-\frac{64}{9}+\frac{512}{81} ..... $ A) -9. B) $-\frac{81}{17}$. C) $-\frac{17}{81}$. D) $-\frac{1}{81}$. Show Answer Correct Answer: B) $-\frac{81}{17}$. 13. The peak points of the sequence $1, \\frac{1}{2}, \frac{1}{3}, \-1, \-1, ..... $ A) 0. B) 1. C) 1, 2 and 3. D) $\infty$. Show Answer Correct Answer: C) 1, 2 and 3. 14. The number of seats in each row of a concert hall follows the sequence below:t(n) = 12 + 3(n-1)Which row has 45 seats? A) 16. B) 92. C) 12. D) 15. Show Answer Correct Answer: C) 12. 15. Which series is divergent? A) 1 + 1/4 + 1/9 + 1/16 + . B) 1 + 1/2 + 1/4 + 1/8 + . C) 1-1/3 + 1/9-1/27 + . D) -5 +-2 + 1 + 4 + . Show Answer Correct Answer: D) -5 +-2 + 1 + 4 + . 16. Arithmetic Sequence:Identify the common difference in the arithmetic sequence:100, 98, 96, 94, ..... A) 2. B) 4. C) -2. D) -8. Show Answer Correct Answer: C) -2. 17. For the sequence a$_{n}$ = 7-2nA) The tenth termB) The sum of the first 10 terms A) A) is greater. B) B) is greater. C) The are equal. D) It can not be determined. Show Answer Correct Answer: A) A) is greater. 18. Don gets a small loan of a million dollars from his parents. With this loan he starts up a company, which costs $ 500, 000. Each year he gets a salary of $ 100, 000. In 5 years how much money will Don have? A) 2 mil. B) 1 mil. C) 3 mil. D) 5 mil. Show Answer Correct Answer: B) 1 mil. 19. Which series is convergent? A) 2/3 + 4/6 + 6/12 + 8/24 + . B) 2/1 + 4/2 + 8/3 + 16/4 + . C) 3/1 + 9/4 + 27/9 + 81/16 + . D) 1 + 2 + 3 + 4 + . Show Answer Correct Answer: A) 2/3 + 4/6 + 6/12 + 8/24 + . 20. Find the common difference:a$_{2}$ = 6 and a$_{6}$ =-14 A) -1. B) -5. C) -2. D) 2. Show Answer Correct Answer: B) -5. 21. Work out the missing terms in this arithmetic sequence: ..... , 18, ..... , 8, 3, ..... , -7, -12 ..... A) 23, 13, -2,. B) -5, -10, -15. C) 23, 13, 5. D) 20, 15, 10. Show Answer Correct Answer: A) 23, 13, -2,. 22. If a=7, d=3 and n=8 then find $a_n$ A) 25. B) 26. C) 27. D) 28. Show Answer Correct Answer: D) 28. 23. A bouncing ball reaches heights of 16 cm, 12.8 cm, and 10.24 cm on three consecutive bounces. If the ball was originally dropped from 25 cm (a$_{1}$ = 25), how much total distance in the downward direction has the ball traveled after five bounces? A) 25 cm. B) 84.04 cm. C) 53.7956 cm. D) 59.04 cm. Show Answer Correct Answer: B) 84.04 cm. 24. Evaluate the arithmetic series:$\sum_{n=1}^{10}\left(7n-2\right)$ A) 365. B) 440. C) 522. D) 611. Show Answer Correct Answer: A) 365. 25. Find the next term in the following sequence?120, 110, 100, 90 ..... A) 80. B) 90. C) 40. D) 45. Show Answer Correct Answer: A) 80. ← 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