This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > 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 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. 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 + 25. B) A$_{n}$ = 4n + 29. C) A$_{n }$=-4n + 29. D) A$_{n}$ = 4n + 25. Show Answer Correct Answer: C) A$_{n }$=-4n + 29. 2. Given the sequence:25, 21, 17, 13, ..... Write the explicit equation that models the sequence. (Hint:Simplify your equation.) A) A$_{n}$ =-4n + 25. B) A$_{n}$ = 4n + 29. C) A$_{n }$=-4n + 29. D) A$_{n}$ = 4n + 25. Show Answer Correct Answer: C) A$_{n }$=-4n + 29. 3. Find the next term of the sequence:2, 2, 4, 6, 10, 16, ..... A) 22. B) 26. C) 24. D) 28. Show Answer Correct Answer: B) 26. 4. 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) $a_n=6\cdot4^{n-1}$. C) $a_n=\left(-6\right)4^{n-1}$. D) $a_n=6\left(-4\right)^n$. Show Answer Correct Answer: A) $a_n=6\left(-4\right)^{n-1}$. 5. Evaluate the geometric series below:a$_{1}$ = 4, a$_{n}$ = 262144, r = 4 A) 344023. B) 341690. C) 338135. D) 349524. Show Answer Correct Answer: D) 349524. 6. 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. 7. 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, 803 seats. B) 2, 791 seats. C) 2.829 seats. D) 2, 816 seats. Show Answer Correct Answer: D) 2, 816 seats. 8. 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: D) 10m+9n. 9. Find the sum of the infinite geometric series $5-\frac{5}{2} + \frac{5}{4}-\frac{5}{8} + ..... $ A) $\frac{10}{3}$. B) 5. C) 10. D) $\frac{5}{3}$. Show Answer Correct Answer: A) $\frac{10}{3}$. 10. 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. 11. 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) School is almost out!. D) Diverges. Show Answer Correct Answer: B) Converges. 12. Geometric Sequence:Find the common ratio:4, -16, 64, -256, ..... A) R =-4. B) R = 4. C) R =-2. D) R = 2. Show Answer Correct Answer: A) R =-4. 13. Which of the following equations represents the "general" standard form of a quadratic (2nd degree) equation? A) Y = a(x-h)$^{2}$ + k. B) Y = mx + b. C) Y = ax$^{2}$ + bx + c. D) Ax + by = c. Show Answer Correct Answer: C) Y = ax$^{2}$ + bx + c. 14. $\sum_{k=1}^{\infty}\left(\frac{4}{5}\right)^{k-1}$ A) 4/5. B) Does not exist. C) 6.5. D) 5. Show Answer Correct Answer: D) 5. 15. Find the sum of the first 25 terms of the sequence below:a$_{n}$ = 5n + 1 A) 126. B) 2650. C) 1650. D) 3300. Show Answer Correct Answer: C) 1650. 16. Find the sum of the series $\sum_{n=1}^82n$ A) 144. B) 81. C) 72. D) 63. Show Answer Correct Answer: C) 72. 17. Which of the following is a correct description of an arithmetic sequence? A) A term is obtained by squaring the preceding term. c. A term is. B) A term is obtained by adding a constant number to the preceding term. C) A term is obtained by multiplying a constant number from the preceding term. D) A term is obtained by extracting the square root of the preceding term. Show Answer Correct Answer: B) A term is obtained by adding a constant number to the preceding term. 18. 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: D) $1\times10^{-9}$. 19. Find the 9th term of a geometric sequence for which a1=2 and r = 4? A) 823, 543. B) 131072. C) 16777216. D) 524, 288. Show Answer Correct Answer: B) 131072. 20. What is the explicit formula for the sequence? A) $a_n=3\left(-5\right)^{n-1}$. B) $a_n=3\left(2\right)^{n-1}$. C) $a_n=4\left(-5\right)^{n-1}$. D) $a_n=4\left(2\right)^{n-1}$. Show Answer Correct Answer: C) $a_n=4\left(-5\right)^{n-1}$. 21. At midnight the temperature was 12$^\circ$F. Every hour during the night the temperature went down by 3 degrees until it reached the low for the day and started warming up at 6 A.M. What is the temperature at 6 A.M.? A) -6. B) 12. C) 18. D) -36. Show Answer Correct Answer: A) -6. 22. Which equation would be best for helping you find the 72$^{nd}$ term? A) F(n) = 4(2)$^{n+5}$. B) F(n) = f(n-1) * 2f(0)=6. C) All the above. D) None of the above. Show Answer Correct Answer: A) F(n) = 4(2)$^{n+5}$. 23. You have inherited land that was purchased for $ 30, 000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011? (51 years) A) $ 31, 500. B) $ 344, 022. C) $ 28, 500. D) $ 15, 000. Show Answer Correct Answer: B) $ 344, 022. 24. Find the 15$^{th}$ term in the sequence for which a$_{1}$=6 and d = 2 A) Can't be determined this close to summer. B) 32. C) 34. D) 36. Show Answer Correct Answer: C) 34. 25. An amphitheater has 25 seats in the first row, 27 seats in the second row, 29 seats in the third row, and so on. If there are 30 rows altogether, what is the seating capacity of the amphitheater? A) 1620 seats. B) 3240 seats. C) 1185 seats. D) 1500 seats. Show Answer Correct Answer: A) 1620 seats. 26. Find the sum:$\sum_{n=1}^{25}3.5n-7$ A) 42. B) 1050. C) 962.5. D) 77. Show Answer Correct Answer: C) 962.5. 27. Find the 15th term of the series:2+7+12+17+22+ ..... A) 76. B) 82. C) 72. D) 68. Show Answer Correct Answer: C) 72. 28. Find the n$^{th}$ term for the following quadratic sequence ..... 4, 14, 30, 52, 80 ..... A) 3n$^{2}$ + n. B) 2n$^{2}$ + n. C) 2n$^{2}$-n. D) 3n$^{2}$-n. Show Answer Correct Answer: A) 3n$^{2}$ + n. 29. $\sum_{n=1}^{\infty}\left(\frac{1}{2}\right)^n$ A) Converges by Geometric Series. B) Converges by Comparison to $\sum_{n=1}^{\infty}\frac{1}{n^2}$. C) Diverges by nth term test. D) Converges by nth term test. Show Answer Correct Answer: A) Converges by Geometric Series. 30. Consider the sum $-\frac{2}{5}-\frac{2}{7}-\frac{2}{9}-\frac{2}{11}$ A) $\sum_{j=0}^3\left(-\frac{2}{5+2j}\right)$. B) $\sum_{n=1}^4\left(-\frac{2}{3+2j}\right)$. C) $\sum_{j=0}^4\left(-\frac{2}{5+2j}\right)$. D) $\sum_{j=1}^4\left(-\frac{2}{4+j}\right)$. Show Answer Correct Answer: A) $\sum_{j=0}^3\left(-\frac{2}{5+2j}\right)$. 31. Insert 2 geometric mean between 4 and 108. A) 12 and 36. B) 24 and 72. C) 36 and 96. D) 30 and 90. Show Answer Correct Answer: A) 12 and 36. 32. If the nth term of an arithmetic progression is 3n-4, then the 10th term of an A.P is A) 26. B) 12. C) 22. D) 10. Show Answer Correct Answer: A) 26. 33. Which of the following is DIVERGENT? A) 25+5+1+0.2+ . B) 2+4+8+16+ . C) 3(.25)$^{n}$ = A$_{n}$. D) 100+50+25+5+ . Show Answer Correct Answer: B) 2+4+8+16+ . 34. What is the common difference in the arithmetic sequence:2, 5, 8, 11, ..... ? A) 4. B) 10. C) 3. D) 6. Show Answer Correct Answer: C) 3. 35. Which formula is used to find the explicit equation for arithmetic sequences? A) A$_{n}$ = a$_{1}$ * r$^{n-1}$. B) A$_{n}$ = a$_{1}$ + (n-1)d. C) A$_{n}$ = a$_{n-1}$ * r. D) A$_{n}$ = a$_{n-1}$ + d. Show Answer Correct Answer: B) A$_{n}$ = a$_{1}$ + (n-1)d. 36. The first three terms of an arithmetic sequence are as follows13, 19, 25What are the next two terms of the sequence? A) 31 and 37. B) 31 and 36. C) 30 and 37. D) 30 and 36. Show Answer Correct Answer: A) 31 and 37. 37. What is the formula for the sum of the first n terms of a geometric sequence? A) $a_1r^n$. B) $a_1r^{n-1}$. C) $\frac{a_1\left(1-r^n\right)}{1-r}$. D) None of these. Show Answer Correct Answer: C) $\frac{a_1\left(1-r^n\right)}{1-r}$. 38. Write the rule to find any term in the arithmetic seriesa$_{1}$ = 12, a$_{n}$ = 64, Find S$_{n}$ A) (n/2)(12+64). B) (n-2)(12+64). C) (n/2)(64-12). D) 12-64(n-1). Show Answer Correct Answer: B) (n-2)(12+64). 39. The two geometric means between the numbers 1 and 64 are A) 1 and 64. B) 4 and 16. C) 2 and 16. D) 8 and 16. Show Answer Correct Answer: B) 4 and 16. 40. Find the simple interest paid on a loan of $ 1, 500 at a rate of 19% 15 months. A) $ 427, 500. B) $ 356.25. C) $ 4, 275. D) $ 285. Show Answer Correct Answer: B) $ 356.25. 41. Find the missing number in the pattern. 6, 14, ..... , 30, 38, ..... A) 24. B) 18. C) 22. D) 20. Show Answer Correct Answer: C) 22. 42. If "a" is the first term and "r" is the common ratio, then the nth term of a G.P is: A) Ar$^{n}$. B) Ar$^{n-1}$. C) (ar)$^{n-1}$. D) None of these. Show Answer Correct Answer: B) Ar$^{n-1}$. 43. Find a$_{1}$ for each geometric series described.S$_{n}$ =-2912, r = 3, n = 6 A) 2. B) -2. C) -8. D) 8. Show Answer Correct Answer: C) -8. 44. How many multiples of 3 are in between 100 and 400? A) 100. B) 101. C) 102. D) 99. Show Answer Correct Answer: A) 100. 45. Which of the following is a geometric sequence? A) 2, 4, 6, 8, . B) 4, 8, -16, 32. C) -2, -4, -8, -16, . D) -1, 6, -36, 216, . Show Answer Correct Answer: D) -1, 6, -36, 216, . 46. Write a sequence that has two geometric means between 7 and 448. A) 7, 30, 144, 448. B) 7, 26, 110, 448. C) 7, 28, 112, 448. D) 7, 29, 113, 448. Show Answer Correct Answer: C) 7, 28, 112, 448. 47. Evaluate the arithmetic series described:11 + 18 + 25 + 32 ..... , S$_{7}$ A) 225. B) 224. C) 450. D) 384. Show Answer Correct Answer: B) 224. 48. Write the explicit formula for the sequence. 15, 22, 29, 36, 43, ..... A) $a_n=29-14^{\left(n-1\right)}$. B) $a_n=15+22\left(n-1\right)$. C) $a_n=15\cdot7^{\left(n-1\right)}$. D) $a_n=15+7\left(n-1\right)$. Show Answer Correct Answer: D) $a_n=15+7\left(n-1\right)$. 49. You spill some tea to six people. Every 7 days those six people spill the tea to six other people. How much tea was spilled after two months? A) $6^4T$. B) $6^8T$. C) $42T^7$. D) $6T\cdot4$. Show Answer Correct Answer: B) $6^8T$. 50. Identify the common difference. 10, 20, 30, 40, ..... A) 15. B) 10. C) 20. D) 5. Show Answer Correct Answer: B) 10. 51. What best describes the following infinite geometric series:1/3-1/9 + 1/27-1/81 + ..... A) Diverges. B) Converges. C) All the above. D) None of the above. Show Answer Correct Answer: B) Converges. 52. What is the sum of the first 18 terms of the sequence 9, 6, 3, ..... ? A) -297. B) -24. C) -33. D) 567. Show Answer Correct Answer: A) -297. 53. Find the a and d value for the arithmetic sequence ..... 109, 97, 85, ..... A) A = 109, d =-12. B) A =-12, d = 109. C) A = 109, d = 12. D) A = 12, d = 12. Show Answer Correct Answer: A) A = 109, d =-12. 54. If m, 15, n are three consecutive terms of an arithmetic sequence and m, 9, n are three consecutive terms of a geometric sequence, then m-n = A) 6. B) 24. C) 6 or-6. D) 24 or-24. Show Answer Correct Answer: D) 24 or-24. 55. Identify the common factor.96, 48, 24 ..... A) -48. B) 2. C) 1/2. D) -2. Show Answer Correct Answer: C) 1/2. 56. A website has 267, 500 subscribers and has reached its peak. The number of subscribers is decreasing at a rate of 8% each month.How many subscribers will there be after 7 weeks? (Round to the nearest whole number.) A) 149, 224 subscribers. B) 458, 448 subscribers. C) 477, 679 subscribers. D) 149, 800 subscribers. Show Answer Correct Answer: A) 149, 224 subscribers. 57. Which kind of sequence has a common factor? A) Arithmetic. B) Geometric. C) Other. D) None of the above. Show Answer Correct Answer: B) Geometric. 58. What is the first term of this geometric sequence ..... , 510, 3060, 18360, 110160, ..... A) 255. B) 25. C) 85. D) 105. Show Answer Correct Answer: C) 85. 59. N is an integer greater than 1A) n!B) n$^{n}$ A) It can not be determined. B) B) is greater. C) The are equal. D) A) is greater. Show Answer Correct Answer: B) B) is greater. 60. For the geometric sequence3, 12, 48, 192, ..... What is $t_{10}$ A) 786 432. B) 39. C) 262147. D) 3145728. Show Answer Correct Answer: A) 786 432. ← PreviousNext →Related QuizzesScience QuizzesClass 11 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 9 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books