This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 33 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 33 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Is the sum of the first n terms of a geometric series always positive? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 2. Define:common difference A) The difference between consecutive numbers in an arithematic sequence. B) Subtraction. C) All of the above. D) None of the above. Show Answer Correct Answer: A) The difference between consecutive numbers in an arithematic sequence. 3. If the 3rd and the 7th term of a geometric sequence are 3 and 48 respectively, which of the following must be true?I. The 5th term is 12.II. The sequence has no negative terms.III. All the terms in the sequence are integers. A) I only. B) II only. C) I and III only. D) II and III only. Show Answer Correct Answer: A) I only. 4. A theater was designed to have 12 seats in the first row, 15 seats in the second row, 18 seats in the third row and so on. If the theater has seating capacity of 255 seats. How many rows does it have? A) 17. B) 15. C) 13. D) 10. Show Answer Correct Answer: D) 10. 5. What is the 3rd term for the equation a$_{n}$=5n-3 A) 2. B) 17. C) 12. D) 22. Show Answer Correct Answer: C) 12. 6. Given the recursive formula, find the first four terms:a$_{n}$ = a$_{n-1}$ + 5a$_{1}$ =-16 A) -16, -21, -26, -31. B) 5, -11, -27, -43. C) -16, -80, -500, -200. D) -16, -11, -6, -1. Show Answer Correct Answer: D) -16, -11, -6, -1. 7. Find the common ratio:-3, -9, -27, -81, ..... A) R = 6. B) R =-6. C) R = 3. D) R =-3. Show Answer Correct Answer: C) R = 3. 8. What is the value of the first term of the sequence a$_{n}$ = n-1? A) -1. B) 1. C) 0. D) 2. Show Answer Correct Answer: C) 0. 9. Find the geometric mean of each pair of numbers. 9 and 16 A) 10. B) 12. C) 13. D) 15. Show Answer Correct Answer: B) 12. 10. Find the sum of the first 100 positive odd integers. A) 10, 000. B) 5, 000. C) 15, 000. D) None of the above. Show Answer Correct Answer: A) 10, 000. 11. Find the sum of the series $\sum_{n=1}^{20}\left(3n+2\right)$ A) 33.5. B) 67. C) 670. D) 1340. Show Answer Correct Answer: C) 670. 12. A sequence can be generated by using a$_{n}$ = a$_{(n-1)}$ + 10, where a$_{1}$ = 23 and n is a whole number greater than 1. What are the first five terms in the sequence? A) 33, 43, 53, 63, 73. B) 23, 33, 43, 53, 63. C) 23, 230, 2300, 23000, 230000. D) 23, 13, 3, -7, -17. Show Answer Correct Answer: B) 23, 33, 43, 53, 63. 13. If r = 4 and a$_{6}$ = 192, what is the first term of the sequence? A) 168. B) 0.46875. C) 0.1875. D) 48. Show Answer Correct Answer: C) 0.1875. 14. Find the 10th term of the series:1+2+4+8+16 A) 64. B) 256. C) 512. D) 1024. Show Answer Correct Answer: C) 512. 15. Given the first five terms, write the recursive formula.15, 12, 9, 6, 3 ..... A) U$_{1}$ = 15u$_{n}$ = u$_{n-1}$ + 3. B) U$_{0}$ = 15u$_{n}$ = u$_{n-1}$ + 3. C) U$_{1}$ = 15u$_{n}$ = u$_{n-1}$-3. D) U$_{0}$ = 15u$_{n}$ = u$_{n-1}$-3. Show Answer Correct Answer: C) U$_{1}$ = 15u$_{n}$ = u$_{n-1}$-3. 16. A geometric series is as follows:40 + 36 + 32.4 + ..... Find the sum of this series. A) 300. B) 400. C) 500. D) 600. Show Answer Correct Answer: B) 400. 17. Find the sum of the first 10 terms for the series:-1 + 2 + 5 + 8 + ..... A) 122. B) 125. C) 128. D) 131. Show Answer Correct Answer: B) 125. 18. 9 + 6 + 4 + ..... , the find S$_{7}$ A) $\frac{2059}{81}$. B) $-\frac{2059}{81}$. C) $-\frac{81}{2059}$. D) $\frac{81}{2059}$. Show Answer Correct Answer: A) $\frac{2059}{81}$. 19. What are the missing numbers? 5, 7, ..... , 11, 13, ..... A) 9 and 17. B) 8 and 14. C) 9 and 15. D) 6 and 12. Show Answer Correct Answer: C) 9 and 15. 20. Given the geometric sequence $-160, \\80, -40, \\20, \ ..... $ $a_{11}$ A) $-\frac{5}{32}$. B) $\frac{5}{64}$. C) $\frac{5}{16}$. D) $\frac{5}{32}$. Show Answer Correct Answer: A) $-\frac{5}{32}$. 21. Find the next term:4, 13, 22 A) 9. B) 13. C) 4. D) 31. Show Answer Correct Answer: D) 31. 22. Find the 20th term in the arithmetic sequence:5, 12, 19, 26 ..... A) 145. B) 144. C) 142. D) 138. Show Answer Correct Answer: D) 138. 23. The arithmetic sequence 28, 34, 40, 46, 52, ..... , 88 has 11 terms. Find the sum of the 11 terms. A) 550. B) 638. C) 610. D) 288. Show Answer Correct Answer: B) 638. 24. Given the sequence 4, 11, 18, 25 ..... what is T$_{3}$? A) 4. B) 11. C) 18. D) 25. Show Answer Correct Answer: C) 18. 25. It is the sum of definite number of terms of an arithmetic sequence A) Arithmetic Means. B) Arithmetic Sequence. C) Arithmetic Series. D) Arithmetic Patterns. Show Answer Correct Answer: C) Arithmetic Series. ← 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