This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 26 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 26 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The 1st and 6th term of a geometric sequence are $-\frac{2}{9}$ $S_{11}$ A) -19683. B) -3532. C) -594. D) -54. Show Answer Correct Answer: A) -19683. 2. Up, down, left, right, up, down, ..... , right A) Up. B) Down. C) Left. D) Right. Show Answer Correct Answer: C) Left. 3. Evaluate the arithmetic series described:14 + 23 + 32 + 41 ..... , S$_{11}$ A) 1296. B) 2604. C) 1298. D) 649. Show Answer Correct Answer: D) 649. 4. The explicit rule is used to find a specific term in a sequence. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 5. Evaluate the arithmetic series described:a$_{1}$ = 5, a$_{n}$ = 145, Find S$_{15}$ A) 1125. B) 2255. C) 2250. D) 2258. Show Answer Correct Answer: A) 1125. 6. Is it possible to find the sum of all terms of the infinite geometric series with u$_{1}$ = 7 and r =-(5/4)? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 7. The 9th term of the G.P 1, 4, 16, 64, ..... is A) $4^8$. B) $4^9$. C) $4^7$. D) $4^{10}$. Show Answer Correct Answer: A) $4^8$. 8. Which of the following sequences has/have sum to infinity?I. 4, 8, 16, ..... II. 16, 8, 4, ..... III.-4, 4, -4, ..... A) I only. B) Ii only. C) I and III only. D) II and III only. Show Answer Correct Answer: B) Ii only. 9. What is the pattern?70, 60, 50, 40 A) Add 10. B) Add 5. C) Subtract 10. D) Multiply 2. Show Answer Correct Answer: C) Subtract 10. 10. For the arithmetic series (107) + (130) + (153) + ..... + (981), the values of $t_1$ A) $t_1=107$. B) $t_1=-107$. C) $t_1=107$. D) $t_1=-107$. Show Answer Correct Answer: A) $t_1=107$. 11. The rule for finding a$_{n}$ of a geometric sequence isa$_{n}$ = 10(2)$^{n-1 }$$_{What is the common ratio(r) of the sequence?}$ A) $^{2}$. B) $^{10}$. C) $^{20}$. D) 2$^{n}$. Show Answer Correct Answer: A) $^{2}$. 12. Write a recursive rule for the sequence 17, 1, -15, -31 ..... A) A$_{n}$ = a$_{n-1}$ + 16. B) A$_{n}$ = a$_{n-1}$-17. C) A$_{n}$ = a$_{n-1}$-15. D) A$_{n}$ = a$_{n-1}$-16. Show Answer Correct Answer: D) A$_{n}$ = a$_{n-1}$-16. 13. What is the sum of the first ten terms of the sequence 4, -12, 36, -108 ..... ? A) 59, 050. B) -59, 048. C) -78, 732. D) 118, 096. Show Answer Correct Answer: B) -59, 048. 14. An arithmetic sequence is given below.2, 9, 16, 23, ..... Which is the explicit formula for the n$^{th}$ term a$_{n?}$ A) A$_{n }$=-7n+9. B) A$_{n }$= 7n-5. C) A$_{n }$= 7n-9. D) A$_{n }$=-7n+5. Show Answer Correct Answer: B) A$_{n }$= 7n-5. 15. For the series, $\sum_{n=1}^{\infty}\frac{5}{10^n}$ A) 5 1/2. B) 555/1000. C) 555/100000. D) None of the above. Show Answer Correct Answer: B) 555/1000. 16. What is the sum of the infinite geometric series $\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+ ..... $ A) 1. B) 1.5. C) 2. D) 2.5. Show Answer Correct Answer: A) 1. 17. Write the recursive formula:-3, -9, -15, -21, ..... A) A$_{n}$ = a$_{n-1}$-6, a$_{1}$=-5. B) A$_{n}$ = a$_{n-1}$-6, a$_{1}$=-11. C) A$_{n}$ = a$_{n-1}$-6, a$_{1}$=-3. D) A$_{n}$ = a$_{n-1}$-4, a$_{1}$ =-11. Show Answer Correct Answer: C) A$_{n}$ = a$_{n-1}$-6, a$_{1}$=-3. 18. The 4th term of an arithmetic sequence is 14, and the 20th term is 110, What is the 34th term? A) 566. B) 490. C) 224. D) 194. Show Answer Correct Answer: D) 194. 19. Find the sum of the sequence:28 + 34 + 40 + 46 + 52 + ..... +88 A) 550. B) 638. C) 610. D) 288. Show Answer Correct Answer: B) 638. 20. A stack of telephone poles has 30 poles in the bottom row. There are 29 poles in the second row, 28 in the next row, and so on. How many poles are there in the 25$^{th}$ row? A) 2. B) 6. C) 24. D) 16. Show Answer Correct Answer: B) 6. 21. The sum of the geometric series 13 + 6.5 + 3.25 + ..... + 0.203125 is A) $\frac{559}{64}$. B) $\frac{1677}{64}$. C) $\frac{819}{32}$. D) $\frac{1651}{64}$. Show Answer Correct Answer: D) $\frac{1651}{64}$. 22. Which of the following statements is true to all geometric sequences? A) If the common ratio is negative, then the sequence is increasing. B) If the common ratio is negative, then all the terms of the sequence is also negative. C) . If the common ratio is less than one, then the sequence is decreasing. D) If the common ratio is less than one, then the sequence is increasing. Show Answer Correct Answer: C) . If the common ratio is less than one, then the sequence is decreasing. 23. Does the sequence a$_{n}$ = n$^{4}$/(n$^{3}$-n) converge or diverge? A) Diverge. B) Converge and the limit is 1. C) Converge and the limit is 0. D) Converge and the limit is 4/3. Show Answer Correct Answer: A) Diverge. 24. A certain bacteria grows at a rate of 3 cells every 2 minutes. If there were 260 cells initially, how many are there after 21 minutes? A) 288.5. B) 864567. C) 260. D) 576378. Show Answer Correct Answer: B) 864567. 25. Is this sequence arithmetic, geometric, or neither?\{26, 22, 18, 14, ..... \} A) Arithmetic. B) Geometric. C) Neither. 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