This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 32 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 32 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. 22, 26, ..... A) Arithmetic sequence with a common difference of 4. B) Geometric sequence with a common ratio of 4. C) Arithmetic sequence with a common difference of-4. D) Geometric sequence with a common ratio of 1/4,. Show Answer Correct Answer: A) Arithmetic sequence with a common difference of 4. 2. Write the equation for the n th term of the arithmetic sequence a5 =-12 d =-4 A) An = 8n-4. B) An = 4n-8. C) An = 2n+8. D) An =-4n + 8. Show Answer Correct Answer: D) An =-4n + 8. 3. What is the next term in the sequence:3, 9, 15, 21, ..... A) 24. B) 27. C) 30. D) 33. Show Answer Correct Answer: B) 27. 4. Find the sum of the series:2+4+6+8+ ..... +68 A) 1190. B) 1120. C) 1156. D) 2380. Show Answer Correct Answer: A) 1190. 5. Kelsey deposited $ 30 in a savings account earning 10% interest, compounded annually. To the nearest cent, how much interest will she earn in 3 years? A) $ 9.93. B) $ 2.01. C) $ 17.60. D) $ 5.75. Show Answer Correct Answer: A) $ 9.93. 6. Determine whether the given statement is true or false.The sequence-1, -2, -3, -4, ..... , -n, ..... is bounded above but not bounded below. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 7. Rewrite the series below in sigma notation:3+13+23+33+43 A) $\sum_{n=1}^5\left(10n-7\right)$. B) $\sum_{n=1}^5\left(10n+3\right)$. C) $\sum_{n=1}^5\left(3n+10\right)$. D) $\sum_{n=3}^{43}\left(n\right)$. Show Answer Correct Answer: A) $\sum_{n=1}^5\left(10n-7\right)$. 8. Find the explicit rule for an arithmetic sequence if the 6th term is-38 and the 14th term is-110 A) A$_{n}$=7-9(n-1). B) A$_{n}$=-9+7(n-1). C) A$_{n}$=-83+9(n-1). D) A$_{n}$=9-83(n-1). Show Answer Correct Answer: A) A$_{n}$=7-9(n-1). 9. If there are 10 seats in the first row in a theater and 13 seats in the second row and 16 seats in the third row, how many seats are in the 17th row? A) 58. B) 61. C) 48. D) None of the above. Show Answer Correct Answer: A) 58. 10. Find the sum of the 1st 20 terms of 3 +11 +19+ ..... A) 1080. B) 1580. C) 155. D) 1550. Show Answer Correct Answer: B) 1580. 11. What are the next 3 terms in the sequence 4, 8, 12, ..... , ..... , ..... A) 14, 16, 18. B) 16, 20, 24. C) 16, 18, 20. D) 24, 48, 96. Show Answer Correct Answer: B) 16, 20, 24. 12. Evaluate S$_{n}$:28 + 35 + 42 + 49 + ..... , n = 10(Hint:is this arithmetic or geometric?) A) 2384. B) 595. C) 1192. D) 1190. Show Answer Correct Answer: B) 595. 13. What are the first three terms of the sequence $a_n=n^2+3$ A) 4, 7, 12. B) 4, 8, 16. C) 4, 9, 16. D) 4, 12, 36. Show Answer Correct Answer: A) 4, 7, 12. 14. What kind of sequence? 400, 200, 100, 50, 25, ..... A) Arithmetic. B) Geometric. C) All the above. D) None of the above. Show Answer Correct Answer: B) Geometric. 15. Which of the following numbers occurs in the sequence-12, -8, -4, 0, 4, ..... ? A) 6. B) -3. C) 24. D) 15. Show Answer Correct Answer: C) 24. 16. Write an explicit formula for $a_n$ A) $a_n=45+\left(n-1\right)\left(-\frac{1}{3}\right)$. B) $a_n=45\left(-\frac{1}{3}\right)^{n-1}$. C) $a_n=45\left(-3\right)^{n-1}$. D) None of the above. Show Answer Correct Answer: B) $a_n=45\left(-\frac{1}{3}\right)^{n-1}$. 17. Find the 15th term of the arithmetic sequences-3, -8, -13, ..... A) -70. B) -73. C) 70. D) 73. Show Answer Correct Answer: B) -73. 18. Find the sum of the infinite geometric series, if it exists. $\sum_{n=1}^{\infty}20\left(\frac{1}{5}\right)^n$ A) 4. B) 5. C) 20. D) Divergent. Show Answer Correct Answer: B) 5. 19. The following is an arithmetic sequence:a$_{4}$ =-5.5 and a$_{9}$ =-18. FInd a$_{1}$ A) $2$. B) 2 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $2$. 20. Is the sequence-432, 72, -12, 2, ..... geometric? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 21. Find the explicit formula for the sequence:64, -32, 16, -8, ..... A) 64(1/2)$^{n-1}$. B) (-32)$^{n-1}$. C) 64(-1/2)$^{n-1}$. D) (32)$^{n-1}$. Show Answer Correct Answer: C) 64(-1/2)$^{n-1}$. 22. For a year, a young girl is given an allowance of 5 pennies the 1st week, 10 pennies the 2nd week, 15 pennies the 3rd week, and so on for an entire 52-week year. How much money will she have at the end of the year? A) $ 2.65. B) $ 67.60. C) $ 68.90. D) $ 71.50. Show Answer Correct Answer: D) $ 71.50. 23. Which of the following represents the value of $\sum_{i=0}^8256\left(\frac{3}{2}\right)^i$ A) 19, 171. B) 12, 610. C) 22, 341. D) 8, 956. Show Answer Correct Answer: A) 19, 171. 24. Find the next term in the following sequence:23, 19, 15, 11 ..... A) 7. B) 6. C) 8. D) 5. Show Answer Correct Answer: A) 7. 25. In a simulation where 10 people have a virus, each day 3 more people than the previous day get the virus. How many people would have had the virus after 14 days? (the day where 10 people have the virus is considered the first day) A) 49. B) 58. C) 247. D) 413. E) 1, 587. Show Answer Correct Answer: D) 413. ← 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