This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 4 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 4 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. You are sitting in row 23 and notice there are 65 seats in your row. The row in front of you has 63 seats and the row behind you has 67 seats. There are 42 rows in the auditorium. How many seats does the auditorium contain? (Hint:Find the number of seats in the first and last rows) A) 2, 604. B) 2, 163. C) 2, 422. D) 2, 803. Show Answer Correct Answer: A) 2, 604. 2. A sequence of numbers where each term after the first is found by multiplying the previous one by a common ratio. A) Geometric Sequence. B) Common Ratio. C) Geometric Mean. D) Common Law. Show Answer Correct Answer: A) Geometric Sequence. 3. You have $ 729 in the bank on Day 1, $ 243 on Day 2, and $ 81 on Day 3. Write the explicit formula that expresses the sequence. A) A$_{n}$ = 729(1/3)$^{n-1}$. B) A$_{n}$ = 729(3)$^{n-1}$. C) A$_{n}$ = 1/3(a$_{n-1}$). D) A$_{n }$= 1/3(729)$^{n-1}$. Show Answer Correct Answer: A) A$_{n}$ = 729(1/3)$^{n-1}$. 4. What is the arithmetic mean of 8 and 25? A) 15.5. B) 16. C) 16.5. D) 17. Show Answer Correct Answer: C) 16.5. 5. A bouncing ball was originally dropped from 25 cm (a1 = 25). If the ball bounces to $\frac{4}{5}$ A) 25 cm. B) 84.04 cm. C) 10.24 cm. D) 5.24 cm. Show Answer Correct Answer: D) 5.24 cm. 6. You sent a message to 6 friends, and they forwarded it to 2 people each the next day. Then those people each sent it to two people on the day after. How many people have received the message after 5 days? A) 192. B) 186. C) 96. D) 60. Show Answer Correct Answer: B) 186. 7. Find the next term of the sequence:2, -1, $\frac{1}{2}$ $-\frac{1}{4}$ A) $\frac{1}{16}$. B) $-\frac{1}{16}$. C) $\frac{1}{8}$. D) $-\frac{1}{8}$. Show Answer Correct Answer: C) $\frac{1}{8}$. 8. Of an arithmetic sequence, the third term is 36, the sum of the fifth and seventh terms is 144. The sum of the first ten terms of the series is ..... A) 660. B) 640. C) 630. D) None of the above. Show Answer Correct Answer: A) 660. 9. 1 + 10 + 100 + 1000 + ..... + 1, 000, 000, 000, 000Convert to sigma notation A) $\sum_{n=1}^{13}1\left(10\right)^n$. B) $\sum_{n=1}^{12}1\left(10\right)^n$. C) $\sum_{n=1}^{12}1\left(10\right)^{n-1}$. D) $\sum_{n=1}^{13}1\left(10\right)^{n-1}$. Show Answer Correct Answer: D) $\sum_{n=1}^{13}1\left(10\right)^{n-1}$. 10. Find the sum:800 + 200 + 50 + 12.5 + ..... + ($^{25}$/$_{2048}$) A) 1062.51. B) -3200.99. C) -2103.67. D) 1066.66. Show Answer Correct Answer: D) 1066.66. 11. The common difference in the arithmetic sequence 2, -6, -14, -22, ..... is A) -8. B) -16. C) -3. D) 8. Show Answer Correct Answer: A) -8. 12. Which of the following is the correct Fibonacci number sequence? A) 0, 1, 2, 3, 4, 5, etc. B) 1, 8, 27, 64, 125, etc. C) 1, 1, 2, 2, 4, 8, 32, 256, etc. D) 1, 1, 2, 3, 5, 8, 13, etc. Show Answer Correct Answer: D) 1, 1, 2, 3, 5, 8, 13, etc. 13. Which statement is true about the sequence shown below?0, 4.5, 12, 22.5, ..... A) The series converges because the limit of the sequence as n approaches infinity is infinity. B) The series converges because the limit of the sequence as n approaches infinity is 30. C) The series diverges because the limit of the sequence as n approaches infinity is infinity. D) The series diverges because the limit of the sequence as n approaches infinity is 30. Show Answer Correct Answer: C) The series diverges because the limit of the sequence as n approaches infinity is infinity. 14. Find the geometric mean of each pair of numbers.-2 and-98 A) 14. B) -14. C) 6. D) -6. Show Answer Correct Answer: B) -14. 15. Which of the following is not an arithmetic sequence. A) 1, 2, 3, 4, 5. B) 3, 9, 27, 81. C) 4.5, 5.0, 5.5, 6.0, . D) 13, 2, -9, -20, -31. Show Answer Correct Answer: B) 3, 9, 27, 81. 16. Numbers in a sequence always get bigger. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 17. Determine the common difference in the arithmetic sequence:12, 9, 6, 3, ..... A) 0. B) 5. C) 2. D) -3. Show Answer Correct Answer: D) -3. 18. Eight posts on a straight path are 20 meters apart. What is the distance from the first to the last post? A) 80 meters. B) 120 meters. C) 140 meters. D) 160meters. Show Answer Correct Answer: C) 140 meters. 19. It is given that 64, x and y are the first three terms of a geometric sequence, while-8, y and x are the first three terms of an arithmetic sequence, where x and y are integers. Find the sum to infinity of the geometric sequence 64, x, y, ..... A) $\frac{256}{3}$. B) $\frac{64}{9}$. C) 4. D) -16. Show Answer Correct Answer: A) $\frac{256}{3}$. 20. Find the sum of the first 20 terms of the arithmetic sequence $14+3-8+ ..... $ A) -1810. B) -195. C) 195. D) 1810. Show Answer Correct Answer: A) -1810. 21. If 2nd, 3rd and 6th terms of an AP are the three consecutive terms of a GP then find the common ratio of the GP. A) 3. B) 4. C) 5. D) 6. Show Answer Correct Answer: A) 3. 22. What is the coefficient of the $x^4$ $\left(1-3x\right)^6$ A) 135. B) 15. C) 81. D) 1215. Show Answer Correct Answer: D) 1215. 23. Form a sequence that has two arithmetic means between 4 and 16. A) 4, 8, 12, 16. B) 4, 8, 10, 12, 14, 16. C) 4, 10, 16. D) 20. Show Answer Correct Answer: A) 4, 8, 12, 16. 24. You start a new job that pays you $ 0.05 on the 1st day and then doubles your pay every day after that. How much money do you make on day 15? A) $ 1638.40. B) $ 409.60. C) $ 819.20. D) Too much to count!. Show Answer Correct Answer: C) $ 819.20. 25. Use the first four terms of the exponential series and a calculator to approximate the value of e$^{0.28}$ to three decimal places. A) 0.33. B) 0.76. C) 1.33. D) 1.38. Show Answer Correct Answer: C) 1.33. ← 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 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