This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 8 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 8 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Find the sum of the series. $1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+ ..... $ A) 1.5. B) 1. C) 2/3. D) 1/3. Show Answer Correct Answer: A) 1.5. 2. What is the common difference of the sequence 2, -1, -4, -7, ..... ? A) -3. B) -1. C) -2. D) 3. Show Answer Correct Answer: A) -3. 3. Find the 8th term of the geometric progression-16, 8, -4, 2, ..... A) -1/18. B) -1/8. C) 1/8. D) 1/18. Show Answer Correct Answer: C) 1/8. 4. Find the sum of the geometric series7 + 14 + 28 + 56 + ..... + 7168. A) 14, 327. B) 14, 329. C) 14, 331. D) 14, 333. Show Answer Correct Answer: B) 14, 329. 5. Let $S_n$ $S_n\-\k\S_{n-1}+S_{n-2}$ A) 1. B) 2. C) 3. D) None of these. Show Answer Correct Answer: B) 2. 6. Find the sum of the infinite geometric series, if it exists:200-100 + 50-25 + A) Does not exist. B) 400/ 3. C) 3 / 400. D) None of the above. Show Answer Correct Answer: B) 400/ 3. 7. Given the sequence:25, 21, 17, 13, ..... Write the explicit equation that models the sequence. HINT:It is an arithmetic Sequence A) A$_{n}$ = 4n + 29. B) A$_{n}$ =-4n + 25. C) A$_{n }$=-4n + 29. D) A$_{n}$ = 4n + 25. Show Answer Correct Answer: C) A$_{n }$=-4n + 29. 8. Given the sequence:25, 21, 17, 13, ..... Write the explicit equation that models the sequence. (Hint:Simplify your equation.) A) A$_{n}$ = 4n + 29. B) A$_{n}$ =-4n + 25. C) A$_{n }$=-4n + 29. D) A$_{n}$ = 4n + 25. Show Answer Correct Answer: C) A$_{n }$=-4n + 29. 9. Find the next term of the sequence:2, 2, 4, 6, 10, 16, ..... A) 28. B) 26. C) 24. D) 22. Show Answer Correct Answer: B) 26. 10. Find the explicit rule for the nth term of the sequence. The second and fifth terms of a geometric sequence are-24 and 1536, respectively. A) $a_n=6\left(-4\right)^{n-1}$. B) $a_n=6\left(-4\right)^n$. C) $a_n=6\cdot4^{n-1}$. D) $a_n=\left(-6\right)4^{n-1}$. Show Answer Correct Answer: A) $a_n=6\left(-4\right)^{n-1}$. 11. Evaluate the geometric series below:a$_{1}$ = 4, a$_{n}$ = 262144, r = 4 A) 349524. B) 341690. C) 344023. D) 338135. Show Answer Correct Answer: A) 349524. 12. Find the common ratio: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. 13. A theater has 32 rows of seats. If there are 26 seats in the 1st row, 30 in the 2nd, 34 in the 3rd, and so on, how many seats are there in all? Assume the pattern continues. A) 2, 791 seats. B) 2, 803 seats. C) 2, 816 seats. D) 2.829 seats. Show Answer Correct Answer: C) 2, 816 seats. 14. The first three terms of an arithmetic sequence are m, 2m+n, 3m+2n, ..... Find the tenth term in terms of m and n. A) 10m-9n. B) -10m-9n. C) 10m+9n. D) -10m+9n. Show Answer Correct Answer: C) 10m+9n. 15. Find the sum of the infinite geometric series $5-\frac{5}{2} + \frac{5}{4}-\frac{5}{8} + ..... $ A) $\frac{10}{3}$. B) $\frac{5}{3}$. C) 10. D) 5. Show Answer Correct Answer: A) $\frac{10}{3}$. 16. What is the next term for the sequence:1.68, -2.32, -6.32, -10.32, -14.32, ..... A) -18.32. B) -4. C) 5.68. D) -22.32. E) None of these. Show Answer Correct Answer: A) -18.32. 17. Given a$_{1}$ = 6 and r = .4, determine if the series converges, diverges or can't be determined. A) Can't be determined. B) Converges. C) Diverges. D) School is almost out!. Show Answer Correct Answer: B) Converges. 18. Geometric Sequence: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. 19. Which of the following equations represents the "general" standard form of a quadratic (2nd degree) equation? A) Ax + by = c. B) Y = a(x-h)$^{2}$ + k. C) Y = ax$^{2}$ + bx + c. D) Y = mx + b. Show Answer Correct Answer: C) Y = ax$^{2}$ + bx + c. 20. $\sum_{k=1}^{\infty}\left(\frac{4}{5}\right)^{k-1}$ A) 4/5. B) 5. C) 6.5. D) Does not exist. Show Answer Correct Answer: B) 5. 21. Find the sum of the first 25 terms of the sequence below:a$_{n}$ = 5n + 1 A) 126. B) 1650. C) 3300. D) 2650. Show Answer Correct Answer: B) 1650. 22. Find the sum of the series $\sum_{n=1}^82n$ A) 63. B) 72. C) 81. D) 144. Show Answer Correct Answer: B) 72. 23. Which of the following is a correct description of an arithmetic sequence? A) A term is obtained by multiplying a constant number from the preceding term. B) A term is obtained by squaring the preceding term. c. A term is. C) A term is obtained by adding a constant number to the preceding term. D) A term is obtained by extracting the square root of the preceding term. Show Answer Correct Answer: C) A term is obtained by adding a constant number to the preceding term. 24. Find the 9th term of the geometric sequences 0.1, 0.01, 0.001, ..... A) $1\times10^{-9}$. B) $-1\times10^{-9}$. C) $1\times10^9$. D) $-1\times10^9$. Show Answer Correct Answer: A) $1\times10^{-9}$. 25. Find the 9th term of a geometric sequence for which a1=2 and r = 4? A) 823, 543. B) 524, 288. C) 131072. D) 16777216. Show Answer Correct Answer: C) 131072. ← 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 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