This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 6 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 6 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Find T$_{20}$ in the arithmetic sequence:5, 12, 19, 26 ..... A) 142. B) 145. C) 144. D) 138. Show Answer Correct Answer: D) 138. 2. The graph of a geometric sequence is (a) . A) A. exponential. B) Linear. C) Quadratic. D) None of the above. Show Answer Correct Answer: A) A. exponential. 3. Given the sequence $-\frac{7}{5}, \\frac{4}{15}, \\frac{29}{15}, \\frac{18}{5}, \ ..... $ $a_{27}$ A) $\frac{671}{15}$. B) $\frac{109}{15}$. C) $\frac{71}{5}$. D) $\frac{629}{15}$. Show Answer Correct Answer: D) $\frac{629}{15}$. 4. Calculate the common ratio in the geometric sequence:1, 4, 16, 64, ..... A) 12. B) 1. C) 4. D) 8. Show Answer Correct Answer: C) 4. 5. These are terms between any two non-consecutive terms of an arithmetic sequence. A) Arithmetic Sequences. B) Arithmetic Means. C) Arithmetic Pattern. D) Arithmetic Series. Show Answer Correct Answer: B) Arithmetic Means. 6. Find the sum of the arithmetic progressions 0.05, 0.15, 0.25, ..... , 4.05. (Hint:find Tn first) A) 84. B) -84. C) -84.05. D) 84.05. Show Answer Correct Answer: D) 84.05. 7. What are the next 3 terms in the following geometric sequence:512, 256, 128, ..... , ..... , ..... , ..... A) 64, 32, 16. B) 32, 8, 2. C) 92, 66, 38. D) 1024, 2048, 4096. Show Answer Correct Answer: A) 64, 32, 16. 8. Write a rule for the arithmetic sequence with a common difference of 6 and a term a$_{5}$=18. A) A$_{n }$= 5n + 18. B) A$_{n }$= 6n-12. C) A$_{n}$=-6n + 12. D) A$_{n }$= 6n +1 8. Show Answer Correct Answer: B) A$_{n }$= 6n-12. 9. Is the sequence arithmetic:37, 31, 25, 19, ..... A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 10. Evaluate the geometric series 1-2+4-8 ..... , n=8 A) -85. B) 1/3. C) -86. D) -87. Show Answer Correct Answer: A) -85. 11. What is the common ratio in the geometric sequence 72, 36, 18, 9 ..... A) 1/2. B) 1/3. C) 3. D) 2. Show Answer Correct Answer: A) 1/2. 12. A geometric series begins with 4, ends with 1/64, and has a common ratio of one half. Which geometric series is correct? A) 4-2+1-1/2+1/4-1/8+1/16-1/32+1/64. B) 4+2+1/2+1/4+1/8+1/16+1/32+1/64. C) 4+2+1+1/2+1/4+1/8+1/16+1/32+1/64. D) 4+2+1+1/2+1/4+1/16+1/64. Show Answer Correct Answer: C) 4+2+1+1/2+1/4+1/8+1/16+1/32+1/64. 13. The ordered list of numbers are called A) Finite. B) Infinite. C) Series. D) Sequences. Show Answer Correct Answer: D) Sequences. 14. Find the 35th term in the arithmetic sequence:-10, -14, -18, -22, ..... A) -148. B) -216. C) -146. D) -150. Show Answer Correct Answer: C) -146. 15. Five years ago, Vanessa bought a car for $ 25, 000. Each year since then, the value of the car has decreased by 12%. What is the approximate value of the car after 5 years? A) $ 15, 000. B) $ 13, 200. C) $ 650. D) $ 44, 000. Show Answer Correct Answer: B) $ 13, 200. 16. Simplify:1 + cot$^{2}$(x) A) Sin$^{2}$(x). B) -csc$^{2}$(x). C) -sin$^{2}$(x). D) Csc$^{2}$(x). Show Answer Correct Answer: D) Csc$^{2}$(x). 17. Identify the next number in the pattern sequence:2, 4, 8, 16, ..... A) 24. B) 64. C) 32. D) 12. Show Answer Correct Answer: C) 32. 18. What are the first 3 terms of the sequence whose nth term is:5n-4 A) 5, 4, 3. B) 1, 6, 11. C) -4, 1, 6. D) 1, 6, 11, 16, 21. Show Answer Correct Answer: B) 1, 6, 11. 19. In the formula for the general term of an arithmetic sequence $t_n=-7+\left(n-1\right)\left(-2.5\right)$ A) -7. B) -2.5. C) 17.5. D) -4.5. Show Answer Correct Answer: B) -2.5. 20. Calculate the sum of the first 15 terms of the arithmetic series:2 + 5 + 8 + 11 + ..... A) The sum of the first 15 terms of the arithmetic series is 340. B) The sum of the first 15 terms of the arithmetic series is 345. C) The sum of the first 15 terms of the arithmetic series is 300. D) The sum of the first 15 terms of the arithmetic series is 245. Show Answer Correct Answer: B) The sum of the first 15 terms of the arithmetic series is 345. 21. Sometimes sequences are described in subscript notation.Given $a_1=-5$ $a_n=a_{n-1}+3$ A) -5, -2, 1, 4. B) 3, -2, -7, -12. C) 3, -15, 75, -375. D) -5, -8, -11, -14. Show Answer Correct Answer: A) -5, -2, 1, 4. 22. Find the sum of the infinite geometric series, if it exists:-3 +-3/2 +-3/4 +-3/8 ..... A) No sum. B) -8. C) -6. D) -4. Show Answer Correct Answer: C) -6. 23. Find the next three terms:4, 12, 36, 108, ..... A) 972, 2916, 8748. B) 324, 972, 2916. C) 405, 1215, 3645. D) 270, 675, 1687. Show Answer Correct Answer: B) 324, 972, 2916. 24. What are geometric sequences? A) Geometric sequences are sequences where you add or subtract the same number to get the next term. B) Geometric Sequences are sequences where you are multiplying or dividing by the same number to get the next term. C) All the above. D) None of the above. Show Answer Correct Answer: B) Geometric Sequences are sequences where you are multiplying or dividing by the same number to get the next term. 25. If a geometric series has 5 terms and the common ratio is 2, what is the number of terms ( $n$ A) 4. B) 5. C) 2. D) 10. Show Answer Correct Answer: B) 5. 26. A sequence is a list of numbers following some pattern. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 27. Evaluate $\lim_{x\rightarrow\infty}4\left(\frac{1}{2}\right)^n$ A) $\infty$. B) 0.5. C) 4. D) 0. Show Answer Correct Answer: D) 0. 28. Find explicit formula for this sequence and then find the value of the 22nd term:{5, 8, 11, ..... } A) 71. B) 68. C) 14. D) 63. Show Answer Correct Answer: B) 68. 29. The third term of a geometric progression is 128 and the seventh term is 40.5. Find the fifth term and the sum to infinity. A) $T_5=-72;\S_{\infty}=-910.22$. B) $T_5=72;\S_{\infty}=-910.22$. C) $T_5=72;\S_{\infty}=910.22$. D) $T_5=-72;\S_{\infty}=910.22$. Show Answer Correct Answer: C) $T_5=72;\S_{\infty}=910.22$. 30. Evaluate the arithmetic series described:a$_{1}$ = 12, a$_{n}$ = 64, Find S$_{14}$ A) 1064. B) 541. C) 1082. D) 532. Show Answer Correct Answer: D) 532. 31. The formula for the nth term of the sequence 5, -2, -9, -16, ..... is ..... A) 12-7n. B) 5-7n. C) -2-7n. D) None of the above. Show Answer Correct Answer: A) 12-7n. 32. Find the sum of the first 25 terms of this sequence:{3, 7, 11, 15, ..... } A) 1275. B) 1550. C) 1250. D) 1098. Show Answer Correct Answer: A) 1275. 33. Find the sum of the following infinite geometric series. $-9+8-\frac{64}{9}+\frac{512}{81} ..... $ A) -9. B) $-\frac{81}{17}$. C) $-\frac{17}{81}$. D) $-\frac{1}{81}$. Show Answer Correct Answer: B) $-\frac{81}{17}$. 34. The peak points of the sequence $1, \\frac{1}{2}, \frac{1}{3}, \-1, \-1, ..... $ A) 0. B) 1. C) 1, 2 and 3. D) $\infty$. Show Answer Correct Answer: C) 1, 2 and 3. 35. The number of seats in each row of a concert hall follows the sequence below:t(n) = 12 + 3(n-1)Which row has 45 seats? A) 16. B) 92. C) 15. D) 12. Show Answer Correct Answer: D) 12. 36. Which series is divergent? A) 1 + 1/2 + 1/4 + 1/8 + . B) 1-1/3 + 1/9-1/27 + . C) -5 +-2 + 1 + 4 + . D) 1 + 1/4 + 1/9 + 1/16 + . Show Answer Correct Answer: C) -5 +-2 + 1 + 4 + . 37. Arithmetic Sequence:Identify the common difference in the arithmetic sequence:100, 98, 96, 94, ..... A) -8. B) -2. C) 4. D) 2. Show Answer Correct Answer: B) -2. 38. For the sequence a$_{n}$ = 7-2nA) The tenth termB) The sum of the first 10 terms A) A) is greater. B) It can not be determined. C) The are equal. D) B) is greater. Show Answer Correct Answer: A) A) is greater. 39. Don gets a small loan of a million dollars from his parents. With this loan he starts up a company, which costs $ 500, 000. Each year he gets a salary of $ 100, 000. In 5 years how much money will Don have? A) 1 mil. B) 3 mil. C) 2 mil. D) 5 mil. Show Answer Correct Answer: A) 1 mil. 40. Which series is convergent? A) 2/1 + 4/2 + 8/3 + 16/4 + . B) 2/3 + 4/6 + 6/12 + 8/24 + . C) 1 + 2 + 3 + 4 + . D) 3/1 + 9/4 + 27/9 + 81/16 + . Show Answer Correct Answer: B) 2/3 + 4/6 + 6/12 + 8/24 + . 41. Find the common difference:a$_{2}$ = 6 and a$_{6}$ =-14 A) -2. B) -5. C) -1. D) 2. Show Answer Correct Answer: B) -5. 42. Work out the missing terms in this arithmetic sequence: ..... , 18, ..... , 8, 3, ..... , -7, -12 ..... A) 20, 15, 10. B) -5, -10, -15. C) 23, 13, -2,. D) 23, 13, 5. Show Answer Correct Answer: C) 23, 13, -2,. 43. If a=7, d=3 and n=8 then find $a_n$ A) 25. B) 27. C) 26. D) 28. Show Answer Correct Answer: D) 28. 44. A bouncing ball reaches heights of 16 cm, 12.8 cm, and 10.24 cm on three consecutive bounces. If the ball was originally dropped from 25 cm (a$_{1}$ = 25), how much total distance in the downward direction has the ball traveled after five bounces? A) 59.04 cm. B) 25 cm. C) 53.7956 cm. D) 84.04 cm. Show Answer Correct Answer: D) 84.04 cm. 45. Evaluate the arithmetic series:$\sum_{n=1}^{10}\left(7n-2\right)$ A) 522. B) 611. C) 440. D) 365. Show Answer Correct Answer: D) 365. 46. Find the next term in the following sequence?120, 110, 100, 90 ..... A) 40. B) 90. C) 80. D) 45. Show Answer Correct Answer: C) 80. 47. Create the explicit formula for the sequence:2, 8, 14, ..... (Hint:Write your formula and then simplify it.) A) A$_{n}$=2+6n. B) A$_{n}$=6n-4. C) A$_{n}$=-6+6n. D) A$_{n}$=4-6n. Show Answer Correct Answer: B) A$_{n}$=6n-4. 48. Write the recursive definition for the following geometric sequence:48, 72, 108, 162, 243 ..... A) $a_1=48$ $a_n=a_{n-1}\times\left(\frac{5}{3}\right)$. B) $a_1=48$ $a_n=a_{n-1}\times\left(\frac{3}{2}\right)$. C) $a_n=48\left(\frac{3}{2}\right)^{n-1}$. D) $a_n=48\left(\frac{5}{2}\right)^{n-1}$. Show Answer Correct Answer: B) $a_1=48$ $a_n=a_{n-1}\times\left(\frac{3}{2}\right)$. 49. Evaluate the sum of the geometric sequence 1 + 2 + 4 + 8 ..... , n = 6 A) 56. B) 46. C) 63. D) 60. Show Answer Correct Answer: C) 63. 50. On the first day posted online a music video got 320 views. The number of views increased each day by 5%. How many TOTAL views will the video get over the first 29 days? Which formula works? A) $S_n=\frac{320-320\left(1.05\right)^{29}}{1-1.05}$. B) $a_n=320\left(.95\right)^{29}$. C) $a_n=320\left(1.05\right)^{29}$. D) $S_n=\frac{320-320\left(.95\right)^{29}}{1-.95}$. Show Answer Correct Answer: A) $S_n=\frac{320-320\left(1.05\right)^{29}}{1-1.05}$. 51. What is the common ratio for the following sequence:3, 15, 75, 375, ..... A) 3. B) 1/5. C) 5. D) 12. Show Answer Correct Answer: C) 5. 52. A display of cans on a grocery shelf consists of 200 cans on the bottom, 194 cans in the next row, and so on in an arithmetic sequence, until the top row has 14 cans. How many cans, in total, are in the display? A) 2800 cans. B) 6848 cans. C) 3424 cans. D) 1498 cans. Show Answer Correct Answer: C) 3424 cans. 53. Determine the sum of the infinite geometric series with t$_{1}$ = 2 and r = 1/5 A) $\frac{1}{3}$. B) $-\frac{1}{2}$. C) $\frac{5}{2}$. D) $\frac{5}{3}$. Show Answer Correct Answer: C) $\frac{5}{2}$. 54. Find the 29th term in the arithmetic sequence-9, -4, 1, 6, ..... A) 126. B) 131. C) 136. D) 121. Show Answer Correct Answer: B) 131. 55. What is the formula for an arithmetic series? A) $a_n=a_1+d\left(n+1\right)$. B) $S_n=\frac{n}{2}\left(a_1-a_n\right)$. C) $a_n=a_1+d\left(n-1\right)$. D) $S_n=\frac{n}{2}\left(a_1+a_n\right)$. Show Answer Correct Answer: D) $S_n=\frac{n}{2}\left(a_1+a_n\right)$. 56. Find the SUM of the first four terms of the geometric sequence that begins with 1 with a common ratio of 3. A) 40. B) 25. C) 37. D) 80. Show Answer Correct Answer: A) 40. 57. The sum of this arithmetic series is 595. a$_{1}$=28, and a$_{n}$=91. How many terms are there (what is n)? A) 9. B) 12. C) 10. D) 11. Show Answer Correct Answer: C) 10. 58. Evaluate the infinite geometric series:1 + $\frac{1}{5}$ $\frac{1}{25}$ A) $\frac{5}{4}$. B) $\frac{5}{6}$. C) $\frac{9}{4}$. D) 1'. Show Answer Correct Answer: A) $\frac{5}{4}$. 59. What is the rule for the nth term of the arithmetic sequence with a fourteenth term of 9 and a common difference of 2? A) 2n-19. B) 2n + 11. C) 2n + 11. D) 2n-9. Show Answer Correct Answer: A) 2n-19. 60. Which term of the arithmetic sequence 4, 1, -2, -5 ..... is-29? A) 9th term. B) 10th term. C) 11th term. D) 12th term. Show Answer Correct Answer: D) 12th term. ← 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 4Class 11 Mathematics Chapter 9 Sequences And Series Quiz 5Class 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