This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 24 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 24 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Find the common ratio geometric sequence:16, 8, 4, 2, ..... A) R = 2. B) R = 8. C) R = 1/4. D) R = 1/2. Show Answer Correct Answer: D) R = 1/2. 2. Find the sum of the arithmetic series using a formula. 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. 3. Find the common ratio:4, -16, 64, -256, ..... A) R =-4. B) R = 2. C) R =-2. D) R = 4. Show Answer Correct Answer: A) R =-4. 4. In a performance hall, chairs are arranged with the front row consisting of 12 chairs, the second row contains 14 seats, the third row contains 16 seats, and so on. The number of seats on the 20th row is ..... A) 50. B) 70. C) 55. D) None of the above. Show Answer Correct Answer: A) 50. 5. Evaluate the arithmetic series described:2 + (-2) + (-6) + (-10) ..... , S$_{10}$ A) -160. B) -328. C) -320. D) -336. Show Answer Correct Answer: A) -160. 6. Evaluate the infinite geometric series:3-2 + 4/3-8/9 + ..... A) 5/4. B) 9/5. C) 5/6. D) 65/27. Show Answer Correct Answer: B) 9/5. 7. Ahmed wants to buy a house. He invests $ 165 000 for 5 years. Interest is calculated at 6% p.a. compounded quarterly. How much money will Ahmed have in his account after the 5 years? A) $ 220 807.22. B) $ 221 115.78. C) $ 222 312.92. D) $ 222 231.08. Show Answer Correct Answer: D) $ 222 231.08. 8. The 4th term in the sequence given by:a$_{1}$ = 6a =$_{}$ 4$_{}$a$_{n-1}$ + n A) 332. B) 426. C) 432. D) None of the above. Show Answer Correct Answer: C) 432. 9. The next term of the series 4, 16, 64 is A) 256. B) 132. C) 120. D) 150. Show Answer Correct Answer: A) 256. 10. The constant r in a geometric sequence is called the ..... A) Common Rule. B) Common Difference. C) Common Sum. D) Common Ratio. Show Answer Correct Answer: D) Common Ratio. 11. As shown in the table, the monthly rent of an apartment depends on the number of bedrooms. If the pattern is extended, which of these is the likely cost of a 4-bedroom apartment?1 Bedroom =$ 550 2 Bedrooms = $ 625 3 Bedrooms = $ 700 A) $ 715. B) $ 725. C) $ 750. D) $ 775. Show Answer Correct Answer: D) $ 775. 12. Find the 7th term of the geometric progression2, $\frac{2}{3}$ $\frac{2}{9}$ $\frac{2}{27}$ A) $\frac{2}{4374}$. B) $\frac{2}{1458}$. C) $\frac{2}{729}$. D) $\frac{2}{2187}$. Show Answer Correct Answer: C) $\frac{2}{729}$. 13. What is the 8th term in the geometric sequence below? A) 19, 683. B) 6, 561. C) 2, 187. D) 729. Show Answer Correct Answer: B) 6, 561. 14. Find the sum of the first 718 terms for the series2 + 4 + 6 + ..... + 1436 A) 1, 797. B) 116, 236. C) 321, 704. D) 516, 242. Show Answer Correct Answer: D) 516, 242. 15. The reciprocals of the terms of a given GP forms A) AP. B) GP. C) HP. D) None of these. Show Answer Correct Answer: B) GP. 16. Find the first four terms of the sequence.a$_{n}$= 3(4)$^{n}$ A) 12, 48, 192, 768. B) 12, 144, 1728, 20736. C) 12, 24, 36, 48. D) 3, 12, 48, 192. Show Answer Correct Answer: A) 12, 48, 192, 768. 17. The first row of a lecture hall has 20 seats and each row after the first has two more seats than the row before it. There are 30 rows of seats. Find the total number of seats in the lecture hall. A) 1470. B) 1740. C) 1074. D) 1047. Show Answer Correct Answer: A) 1470. 18. Let a, b and c be positive integers. If a + c = 2b, which of the following must be a geometric sequence/geometric sequences?I. 7$^{a}$, 7$^{b}$, 7$^{c}$II. 7$^{a + 1}$, 7$^{b + 1}$, 7$^{c + 1}$III. a$^{7}$, b$^{7}$, c$^{7}$ A) I and II only. B) I and III only. C) II and III only. D) I, II and III. Show Answer Correct Answer: A) I and II only. 19. Find the seventh term of a geometric sequence where the third is 18 and the common ratio is 3. A) 162. B) 486. C) 1458. D) 4374. Show Answer Correct Answer: C) 1458. 20. Determine the common ratio in the geometric sequence:81, 27, 9, 3, ..... A) 1/3. B) 5. C) 2. D) 3. Show Answer Correct Answer: A) 1/3. 21. Which fraction is equivalent to the repeating decimal0.383838383 ..... A) $^{3}$/$_{10}$. B) $^{3}$/$_{8}$. C) $^{383}$/$_{999}$. D) $^{38}$/$_{99}$. Show Answer Correct Answer: D) $^{38}$/$_{99}$. 22. Write an expression for the apparent nth term of the sequence.5, 8, 11, 14, 17 A) $a_n=3n+2$. B) $a_n=3n$. C) $a_n=2n+3$. D) $a_n=3^n+2$. E) $a_n=\left(-1\right)^n\left(3n+2\right)$. Show Answer Correct Answer: A) $a_n=3n+2$. 23. Use Pascal's triangle or the Binomial Theorem to expand (3x-y)$^{4}$. A) X$^{4}$-9x$^{3}$y + 6x$^{2}$y$^{2}$-3xy$^{3}$ + y$^{4}$. B) 81x$^{4}$ + 108x$^{3}$y + 54x$^{2}$y$^{2}$ + 12xy$^{3}$ + y$^{4}$. C) X$^{4}$ + 9x$^{3}$y + 6x$^{2}$y$^{2}$ + 3xy$^{3}$ + y$^{4}$. D) 81x$^{4}$-108x$^{3}$y + 54x$^{2}$y$^{2}$-12xy$^{3}$ + y$^{4}$. Show Answer Correct Answer: D) 81x$^{4}$-108x$^{3}$y + 54x$^{2}$y$^{2}$-12xy$^{3}$ + y$^{4}$. 24. After knee surgery, your trainer tells you to return to your jogging program slowly. He suggests jogging for 12 minutes each day for the first week. Each week thereafter, he suggests that you increase that time by 6 minutes per day.How long would you be running each day in week 3? A) 24 minutes. B) 30 minutes. C) 20 minutes. D) 36 minutes. Show Answer Correct Answer: A) 24 minutes. 25. If a, b, c are in arithmetic progression, then A) B = a+c. B) 2b = a+c. C) B$^{2}$ = a+c. D) 2b$^{2}$ = a+c. Show Answer Correct Answer: B) 2b = a+c. ← 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