This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 2 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 2 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. If the first term is 5 and third term is 45, what is the common ratio? A) 3. B) 10. C) 15. D) 180. Show Answer Correct Answer: A) 3. 2. What is the ratio for the following sequence.1/2, 1/4, 1/8, 1/16 ..... A) 2. B) -2. C) 1/2. D) -1/2. Show Answer Correct Answer: C) 1/2. 3. 3) cosx(tanx+cotx) A) Sinx. B) Cscx. C) Tanx+1. D) None of the above. Show Answer Correct Answer: B) Cscx. 4. What kind of sequence is the pattern 15, 17, 20, 24, 29, ..... ? A) Arithmetic. B) Geometric. C) Neither. D) None of the above. Show Answer Correct Answer: C) Neither. 5. Find t$_{12}$ in the sequence-1, -3, -9, -27, ..... A) -177, 147. B) -19, 683. C) -59, 049. D) 118, 098. Show Answer Correct Answer: A) -177, 147. 6. An arithmetic sequence has a$_{15}$=160 and a common difference of-15. Find a$_{40}$. A) 535. B) 370. C) -170. D) -215. Show Answer Correct Answer: D) -215. 7. Determine the common ratio in the sequence 3, -3/4, 3/16, ..... A) 1/4. B) -1/4. C) 3/4. D) -3/4. Show Answer Correct Answer: B) -1/4. 8. Write the nth term formula:5 + 11 + 17 + 23 + ..... + 35 A) T(n) = 5 + 6(n-1). B) T(n) = 5(6)$^{n-1}$. C) T(n) = 5 + 6n. D) T(n) =-1 + 6(n-1). Show Answer Correct Answer: A) T(n) = 5 + 6(n-1). 9. From an arithmetic sequence it is known that the 5th term is 22 and termThe 12th term is 57. The 15th term of this sequence is ..... A) 62. B) 68. C) 72. D) None of the above. Show Answer Correct Answer: C) 72. 10. $18-12+8 ..... +\frac{512}{729}-\frac{1024}{2187}=$ A) $10.61$. B) 10.61 Mathematical EquivalenceOFF. C) All the above. D) None of the above. Show Answer Correct Answer: A) $10.61$. 11. Find the sum of the first 42 terms of the series whose terms are a$_{n}$=10-5n A) -4090. B) -3895. C) -4095. D) None of the above. Show Answer Correct Answer: C) -4095. 12. Find the n$^{th}$ term of the following sequence ..... 8, 13, 18, 23 ..... A) 5n+3. B) 3n+5. C) N+5. D) N+3. Show Answer Correct Answer: A) 5n+3. 13. A geometric series has a first term of 32 and a final term of $-\frac{1}{4}$ $-\frac{1}{2}$ A) 19.75. B) 16.25. C) 22.5. D) 21.25. Show Answer Correct Answer: D) 21.25. 14. A recovering heart attack patient is told to get on a regular walking program. The patient is told to walk a distance of 5 km the first week, 8 km the second week, 11 km the third week and so on for a period of 10 weeks. At that point the patient is to maintain the distance walked during the 10th week. How far will the patient walk during the 10th week? A) 35 km. B) 32 km. C) 25 km. D) 22km. Show Answer Correct Answer: B) 32 km. 15. Find the sum:$\sum_{n=1}^{50}-n+1$ A) -25. B) -24.5. C) -1250. D) -1225. Show Answer Correct Answer: D) -1225. 16. The first term of a G.P is 1. The sum of the third term and fifth term is 90. The common ratio is A) 3. B) -3. C) $\pm$. D) None of these. Show Answer Correct Answer: C) $\pm$. 17. The sum of the infinite series 4-6 + 9-27/2 + ..... A) 1230. B) 549. C) N/A. D) 670. Show Answer Correct Answer: C) N/A. 18. Write a recursive rule for the sequence 1, 2, 5, 14, 41, 122, ..... A) A$_{n}$ = (a$_{n-1)}$$^{2}$ + 1. B) A$_{n}$ = 2 a$_{n-1}$-2. C) A$_{n}$ = 3 a$_{n-1}$-1. D) A$_{n}$ = 3 a$_{n-1}$ + 1. Show Answer Correct Answer: C) A$_{n}$ = 3 a$_{n-1}$-1. 19. Find a$_{12}$ for the rule a$_{n}$ = 6(2)$^{n-1}$ A) 4096. B) 24, 576. C) 2048. D) 12, 288. Show Answer Correct Answer: D) 12, 288. 20. Find the sum of the infinite geometric series, if it exists:2 + (16/7) + (128/49) + (1024/343) + ..... A) Does not exist. B) 14. C) 208.32. D) None of the above. Show Answer Correct Answer: A) Does not exist. 21. In sequence notation, which of the following represents the previous term to $a_n$ A) $a_{n-1}$. B) $a_{n+1}$. C) $n$. D) $n-1$. Show Answer Correct Answer: A) $a_{n-1}$. 22. What is the equation for the general term of an geometric sequence? A) $u_n=u_1+\left(n-1\right)d$. B) $S_n=\frac{n}{2}\left(u_1+u_n\right)$. C) $u_n=u_1\left(r\right)^{n-1}$. D) $S_n=\frac{u_1\left(1-r^n\right)}{1-r}$. Show Answer Correct Answer: C) $u_n=u_1\left(r\right)^{n-1}$. 23. The sum of an infinite geometric series is 20/3 and its common ratio is 1/4 . What is the first term of the series? A) $\frac{1}{4}$. B) 5. C) $\frac{80}{3}$. D) $\frac{5}{3}$. Show Answer Correct Answer: B) 5. 24. Find the common difference in the arithmetic sequence:-15, -12, -9, -6, ..... ? A) 5. B) 0. C) -2. D) 3. Show Answer Correct Answer: D) 3. 25. What is the common ratio of the geometric sequence, -14, 56, -224, 896, -3584? A) -4. B) -5. C) -6. D) -7. Show Answer Correct Answer: A) -4. ← PreviousNext →Related QuizzesClass 11 Mathematics Chapter 9 Sequences And Series Quiz 1Class 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 10Class 11 Mathematics Chapter 9 Sequences And Series Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books