This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 13 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 13 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Which of the following best describes the series $-50+-45+\left(-\frac{81}{2}\right)+\left(-\frac{729}{80}\right)+ ..... $ A) The series is convergent and has a sum of-500. B) The series is divergent and has a sum of-500. C) The series is divergent and has no sum. D) The series is convergent and has no sum. Show Answer Correct Answer: A) The series is convergent and has a sum of-500. 2. 3rd degree relationships may also be described as ..... A) Linear. B) Quadratic. C) Cubic. D) None. Show Answer Correct Answer: C) Cubic. 3. What is the nth term of the arithmetic series 3+7+11+15+19+ ..... A) 4n. B) 3+4n. C) 2n+1. D) 4n-1. Show Answer Correct Answer: D) 4n-1. 4. Find the sum:90 + 84 + 78 + ..... + 24 A) 276. B) 627. C) 684. D) 741. Show Answer Correct Answer: C) 684. 5. Find T$_{20}$ in the arithmetic sequence:5, 12, 19, 26 ..... A) 145. B) 144. C) 142. D) 138. Show Answer Correct Answer: D) 138. 6. The graph of a geometric sequence is (a) . A) A. exponential. B) Linear. C) Quadratic. D) None of the above. Show Answer Correct Answer: A) A. exponential. 7. Given the sequence $-\frac{7}{5}, \\frac{4}{15}, \\frac{29}{15}, \\frac{18}{5}, \ ..... $ $a_{27}$ A) $\frac{629}{15}$. B) $\frac{71}{5}$. C) $\frac{671}{15}$. D) $\frac{109}{15}$. Show Answer Correct Answer: A) $\frac{629}{15}$. 8. Calculate the common ratio in the geometric sequence:1, 4, 16, 64, ..... A) 4. B) 12. C) 1. D) 8. Show Answer Correct Answer: A) 4. 9. These are terms between any two non-consecutive terms of an arithmetic sequence. A) Arithmetic Means. B) Arithmetic Sequences. C) Arithmetic Series. D) Arithmetic Pattern. Show Answer Correct Answer: A) Arithmetic Means. 10. Find the sum of the arithmetic progressions 0.05, 0.15, 0.25, ..... , 4.05. (Hint:find Tn first) A) -84. B) 84. C) -84.05. D) 84.05. Show Answer Correct Answer: D) 84.05. 11. What are the next 3 terms in the following geometric sequence:512, 256, 128, ..... , ..... , ..... , ..... A) 1024, 2048, 4096. B) 32, 8, 2. C) 64, 32, 16. D) 92, 66, 38. Show Answer Correct Answer: C) 64, 32, 16. 12. Write a rule for the arithmetic sequence with a common difference of 6 and a term a$_{5}$=18. A) A$_{n }$= 6n-12. B) A$_{n }$= 5n + 18. C) A$_{n }$= 6n +1 8. D) A$_{n}$=-6n + 12. Show Answer Correct Answer: A) A$_{n }$= 6n-12. 13. Is the sequence arithmetic:37, 31, 25, 19, ..... A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 14. Evaluate the geometric series 1-2+4-8 ..... , n=8 A) 1/3. B) -87. C) -86. D) -85. Show Answer Correct Answer: D) -85. 15. What is the common ratio in the geometric sequence 72, 36, 18, 9 ..... A) 1/3. B) 1/2. C) 2. D) 3. Show Answer Correct Answer: B) 1/2. 16. A geometric series begins with 4, ends with 1/64, and has a common ratio of one half. Which geometric series is correct? A) 4+2+1+1/2+1/4+1/8+1/16+1/32+1/64. B) 4-2+1-1/2+1/4-1/8+1/16-1/32+1/64. C) 4+2+1/2+1/4+1/8+1/16+1/32+1/64. D) 4+2+1+1/2+1/4+1/16+1/64. Show Answer Correct Answer: A) 4+2+1+1/2+1/4+1/8+1/16+1/32+1/64. 17. The ordered list of numbers are called A) Series. B) Infinite. C) Finite. D) Sequences. Show Answer Correct Answer: D) Sequences. 18. Find the 35th term in the arithmetic sequence:-10, -14, -18, -22, ..... A) -216. B) -148. C) -146. D) -150. Show Answer Correct Answer: C) -146. 19. Five years ago, Vanessa bought a car for $ 25, 000. Each year since then, the value of the car has decreased by 12%. What is the approximate value of the car after 5 years? A) $ 44, 000. B) $ 13, 200. C) $ 650. D) $ 15, 000. Show Answer Correct Answer: B) $ 13, 200. 20. Simplify:1 + cot$^{2}$(x) A) Csc$^{2}$(x). B) Sin$^{2}$(x). C) -csc$^{2}$(x). D) -sin$^{2}$(x). Show Answer Correct Answer: A) Csc$^{2}$(x). 21. Identify the next number in the pattern sequence:2, 4, 8, 16, ..... A) 12. B) 64. C) 32. D) 24. Show Answer Correct Answer: C) 32. 22. What are the first 3 terms of the sequence whose nth term is:5n-4 A) 1, 6, 11, 16, 21. B) 5, 4, 3. C) -4, 1, 6. D) 1, 6, 11. Show Answer Correct Answer: D) 1, 6, 11. 23. In the formula for the general term of an arithmetic sequence $t_n=-7+\left(n-1\right)\left(-2.5\right)$ A) 17.5. B) -7. C) -4.5. D) -2.5. Show Answer Correct Answer: D) -2.5. 24. Calculate the sum of the first 15 terms of the arithmetic series:2 + 5 + 8 + 11 + ..... A) The sum of the first 15 terms of the arithmetic series is 245. B) The sum of the first 15 terms of the arithmetic series is 300. C) The sum of the first 15 terms of the arithmetic series is 340. D) The sum of the first 15 terms of the arithmetic series is 345. Show Answer Correct Answer: D) The sum of the first 15 terms of the arithmetic series is 345. 25. Sometimes sequences are described in subscript notation.Given $a_1=-5$ $a_n=a_{n-1}+3$ A) -5, -2, 1, 4. B) -5, -8, -11, -14. C) 3, -2, -7, -12. D) 3, -15, 75, -375. Show Answer Correct Answer: A) -5, -2, 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