This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 34 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 34 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Find the common ratio for the geometric sequence:3, -12, 48, -192 ..... A) -4. B) 1/4. C) 4. D) -1/4. Show Answer Correct Answer: A) -4. 2. Find the fifth term of a geometric sequence whose first term is 6 and whose common ratio is 4/3. A) 32/3. B) 128/9. C) 2048/81. D) 512/27. Show Answer Correct Answer: D) 512/27. 3. Find S$_{6}$-4, -8, -16, -32 ..... A) -253. B) -252. C) 4. D) -235. Show Answer Correct Answer: B) -252. 4. Least and greatest values of n in the series. A) Limits. B) Geometric Series. C) Converges. D) Diverges. Show Answer Correct Answer: A) Limits. 5. Find the sum of first 7 terms of geometric progression below:4-8-16-32 ..... A) 195. B) 172. C) 202. D) 145. Show Answer Correct Answer: B) 172. 6. It is a sequence in which every term after the first is obtained by multiplying the same constant r. A) Geometric sequence. B) Fibonacci sequence. C) Arithmetic sequence. D) Harmonic sequence. Show Answer Correct Answer: A) Geometric sequence. 7. The attendance at the art museum at the New Year's opening was 250 people. The attendance has been increasing at a rate of 3% each month. How many people will attend by the end of a year (12 months)? A) 356. B) 265. C) 582. D) 329. Show Answer Correct Answer: A) 356. 8. Evaluate the arithmetic series described:28 + 38 + 48 + 58 ..... , S$_{7}$ A) 1644. B) 812. C) 406. D) 3290. Show Answer Correct Answer: C) 406. 9. Which of the following algebraic expressions best describes the nth term of the arithmetic sequence? 7, 9, 11, 13, ..... A) 2 + 5n. B) 5 + 2n. C) 7n. D) N + 5. Show Answer Correct Answer: B) 5 + 2n. 10. What is the sum of the first 20 counting numbers? A) 20. B) 145. C) 210. D) 305. Show Answer Correct Answer: C) 210. 11. Arithmetic Series:The arithmetic sequence 28, 34, 40, 46, 52, ..... , has 11 terms. First term a = 28 and the common difference is d = 6. Find the sum of the 11 terms (n=11). $S_n=\\frac{n}{2}\left(2a+\left(n-1\right)\left(d\right)\right)$ A) 550. B) 638. C) 610. D) 288. Show Answer Correct Answer: B) 638. 12. Which kind of sequence is this:2, 6, 12, 36, 72 ..... A) Arithmetic. B) Geometric. C) Other. D) None of the above. Show Answer Correct Answer: C) Other. 13. What is the rule (explicit equation) for the n$^{th}$ term given 60, 55, 50, 45, ..... A) A$_{n}$=-5+60n. B) A$_{n}$=-5n+55. C) A$_{n}$=-5n+65. D) A$_{n}$= 5n+55. Show Answer Correct Answer: C) A$_{n}$=-5n+65. 14. Write the recursive rule for the arithmetic sequence82, 76, 70, 64, ..... A) A$_{1}$=82; a$_{n}$ = a$_{n-1}$-6. B) A$_{1}$=64; a$_{n}$ = a$_{n-1}$-6. C) A$_{1}$=82; a$_{n}$ = a$_{n-1}$+6. D) A$_{1}$=64; a$_{n}$ = a$_{n-1}$+6. Show Answer Correct Answer: A) A$_{1}$=82; a$_{n}$ = a$_{n-1}$-6. 15. What is the sum of the first ten terms of the sequence 4, -12, 36, -144 ..... ? A) 59, 050. B) -59, 048. C) -78, 732. D) 118, 096. Show Answer Correct Answer: B) -59, 048. 16. Determine if the following sequence is arithmetic or geometric.6, 12, 24, 48, 96, ..... A) Arithmetic. B) Geometric. C) All the above. D) None of the above. Show Answer Correct Answer: B) Geometric. 17. It is a set of things (usually numbers) that make a pattern. A) Sequence. B) Term. C) Arithmetic Sequence. D) Arithmetic Series. Show Answer Correct Answer: A) Sequence. 18. Find the sum of the series:1+2+3+4+ ..... +50 A) 50. B) 1275. C) 2550. D) 5100. Show Answer Correct Answer: B) 1275. 19. There are 125 passengers in the first carriage, 150 passengers in the second carriage and 175 passengers in the third carriage, and so on in an arithmetic sequence. What is the total number of passengers in the 7th carriage? A) 225. B) 250. C) 275. D) 300. Show Answer Correct Answer: C) 275. 20. -4, -12, -36, -108, ..... Find the common ratio A) R=-2. B) R=3. C) R=-3. D) R=2. Show Answer Correct Answer: B) R=3. 21. Evaluate the 5$^{th}$ partial sum of the given geometric sequence:2, 12, 72, ..... A) 3110. B) 2592. C) 18, 662. D) Cannot be determined. Show Answer Correct Answer: A) 3110. 22. Find the arithmetic means in each sequence. 24, ..... , ..... , ..... , ..... , -1 A) 19, 14, 9, 4. B) 14, 19, 9, 4. C) 4, 9, 14, 19. D) 19, 9, 19, 4. Show Answer Correct Answer: A) 19, 14, 9, 4. 23. Given the geometric sequenceFind $a_{10}$ A) -390, 625. B) 390, 625. C) 1, 953, 125. D) 78, 125. Show Answer Correct Answer: A) -390, 625. 24. In a geometric sequence, t$_{4}$ = 405 and t$_{7}$ = 10935. Find the first term (t$_{1}$). A) 3. B) 5. C) 15. D) 45. Show Answer Correct Answer: C) 15. 25. Find the next three terms of the geometric sequence:-4, -12, -36, -108, ..... A) 36, -108, 324. B) -324, -972, -2916. C) 324, -972, 2916. D) -108, 324, -972. Show Answer Correct Answer: B) -324, -972, -2916. ← 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