This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 15 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 15 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the value of r the common ratio of this series 1+5+25+125, , ? A) 4. B) 156. C) 1. D) 5. Show Answer Correct Answer: D) 5. 2. What would be the missing terms of the series-1-5-25 ..... 78125 A) 125 + 625-3125 + 15625. B) 125-625-3125-15625. C) 625-3125-15625. D) 125-625-15625. Show Answer Correct Answer: B) 125-625-3125-15625. 3. Describe the sequence, find the 5th term, and write the rule-8, -6, -4, -2 ..... A) Geometric, a$_{5}$ = 0, a$_{n}$ =-10n + 2. B) Arithmetic, a$_{5 }$= 0, a$_{n}$ = 2n-10. C) Geometric, a$_{5}$ = 2, a$_{n}$ = 2n-10. D) Arithmetic, a$_{5}$ = 2, a$_{n}$ =-10n + 2. Show Answer Correct Answer: B) Arithmetic, a$_{5 }$= 0, a$_{n}$ = 2n-10. 4. Find the next four terms in the arithmetic sequence-10, -6, -2, ..... A) 1, 5, 9, 13. B) 0, 4, 8, 12. C) 2, 6, 10, 14. D) 6, 10, 14, 18. Show Answer Correct Answer: C) 2, 6, 10, 14. 5. Evaluate the geometric series below:-2-10-50-250 ..... , Find S6 A) -7812. B) -8686. C) -9678. D) -9932. Show Answer Correct Answer: A) -7812. 6. What kind of sequence is illustrated below? 400, 200, 100, 50, 25, ..... A) Arithmetic. B) Geometric. C) Neither. D) None of the above. Show Answer Correct Answer: B) Geometric. 7. Write the recursive formula for 6, 17, 28, 39, 50 ..... A) A$_{n}$=a$_{n-1}$+9a$_{1}$=6. B) A$_{n}$=a$_{n-1}$-4a$_{1}$=6. C) A$_{n}$=a$_{n-1}$+11a$_{1}$=6. D) A$_{n}$=a$_{n-1}$+6a$_{1}$=6. Show Answer Correct Answer: C) A$_{n}$=a$_{n-1}$+11a$_{1}$=6. 8. Find the 10th term of the geometric sequences $\frac{1}{2}, 1, 2, 4, ..... $ A) 256. B) -265. C) 265. D) -256. Show Answer Correct Answer: A) 256. 9. Find the given term for the sequence.Find the 30th term of 20, 11, 2, -7, -16, ..... A) -241. B) -261. C) 29. D) Cannot be determined. Show Answer Correct Answer: A) -241. 10. Find the common difference:29, 21, 13, 5, ..... A) D =-9. B) D =-8. C) D =-7. D) D =-10. Show Answer Correct Answer: B) D =-8. 11. A convergent sequence is ..... A) A set of numbers that approach a specific value. B) A set of numbers that don't approach a specific value. C) A set of numbers that stay constant. D) A vertical asymptote. Show Answer Correct Answer: A) A set of numbers that approach a specific value. 12. A$_{n}$ = a$_{1}$ + (n-1) * dWhat formula is this? A) Explicit Arithmetic Formula. B) Geometric Series Formula. C) Arithmetic Series Formula. D) Explicit Geometric Formula. Show Answer Correct Answer: A) Explicit Arithmetic Formula. 13. Find the sum of the infinite geometric series, if it exists:5 + 4 + 3.2 + 2.56 + ..... A) -1. B) 30. C) 25. D) 0.8. Show Answer Correct Answer: C) 25. 14. Evaluate the geometric series below:-1-3-9-27 ..... , S8 A) -3343. B) -3135. C) -3323. D) -3280. Show Answer Correct Answer: D) -3280. 15. Find t$_{26}$ in the sequence:-15, -35, -55, -75, ..... A) 460. B) -515. C) -535. D) -490. Show Answer Correct Answer: B) -515. 16. Write the explicit rule for the geometric sequence:2, -12, 72, ..... A) A$_{n}$ = 72(-6)$^{n-1}$. B) A$_{n}$ = 2(6)$^{n-1}$. C) A$_{n}$ = 2(-6)$^{n-1}$. D) A$_{n}$ = 72(-6)$^{n-1}$. Show Answer Correct Answer: C) A$_{n}$ = 2(-6)$^{n-1}$. 17. Martin would like to start training to run a marathon. The first week he runs a total of 15 miles. He would like to run 30% more miles each week than the week before. How far will Martin run the second week? A) 17 miles. B) 30 miles. C) 15 miles. D) 19.5 miles. Show Answer Correct Answer: D) 19.5 miles. 18. What type of sequence is this:1, 3, 5, 7, 9, 11, ..... A) Fibonacci. B) Quadratic. C) Geometric. D) Arithmetic. Show Answer Correct Answer: D) Arithmetic. 19. What is the sum of the first 10 terms for the following geometric series:1+1/2+1/4+1/8+1/16+ ..... A) 9.8. B) 1.998. C) 0.002. D) 0.999. Show Answer Correct Answer: B) 1.998. 20. Find the number of terms in the series:5+9+13+17+ ..... +121 A) 30. B) 35. C) 25. D) 20. Show Answer Correct Answer: A) 30. 21. Find the 11$^{th}$ term for:64, -32, 16, -8, ..... A) -.0625. B) .0625. C) .03125. D) -.03125. Show Answer Correct Answer: B) .0625. 22. Simplify:$\frac{8!}{2!6!}$ A) 56. B) 28. C) 14. D) None of the above. Show Answer Correct Answer: B) 28. 23. Which of the following sequences has the recursive rule g$_{n}$ = g$_{n-1}$ * 1/5 A) {11, 6, 1, -4, -9, }. B) {21875, 4375, 875, 175, 35, }. C) {7, 35, 175, 875, 4375, }. D) {17, 22, 27, 32, 37, }. Show Answer Correct Answer: B) {21875, 4375, 875, 175, 35, }. 24. Evaluate the arithmetic series described:11 + 18 + 25 + 32 ..... , n=7 A) 450. B) 224. C) 225. D) 384. Show Answer Correct Answer: B) 224. 25. Solve for the common ratio of the geometric sequence:14, 28, 56, 112. A) 3. B) 2. C) 4. D) 1. Show Answer Correct Answer: B) 2. 26. Find the 10th term of the following geometric sequence 5, 20, 80, 320, ..... A) 81, 920. B) 1, 310, 720. C) 5, 242, 880. D) 327, 680. Show Answer Correct Answer: B) 1, 310, 720. 27. What is the common difference in this sequence?{48, 32, 16, 0, ..... } A) 2. B) -8. C) -16. D) 1/2. Show Answer Correct Answer: C) -16. 28. Find the nth partial sum:8, 20, 32, 44, ..... n=10 A) 680. B) 116. C) 124. D) 620. Show Answer Correct Answer: D) 620. 29. What is the common difference inthe sequence-7, -5, -3, -1, ..... ? A) 2. B) -1/2. C) 1/2. D) -2. Show Answer Correct Answer: A) 2. 30. Write an EXPLICIT formula for the sequence defined by $a_1=-3\\\\\\\\\\a_n=a_{n-1}-10$ A) $a_n=-3+\left(n-1\right)\left(-10\right)$. B) $a_n=-3\left(-10\right)^{n-1}$. C) All the above. D) None of the above. Show Answer Correct Answer: A) $a_n=-3+\left(n-1\right)\left(-10\right)$. 31. What is the recursive rule for the sequence 2, 6, 18, 54, ..... ? A) A$_{1}$ = 2, a$_{n}$ = 3a$_{n-1}$. B) A$_{1}$ = 3, a$_{n}$ = 2a$_{n-1}$. C) A$_{1}$ = 2, a$_{n}$ = a$_{n-1}$ + 4. D) A$_{n}$=2(3)$^{n-1}$. Show Answer Correct Answer: A) A$_{1}$ = 2, a$_{n}$ = 3a$_{n-1}$. 32. Given the sequence 2, 8, 14, 20, 26, ..... What is the common difference? A) 2. B) 8. C) 4. D) 6. Show Answer Correct Answer: D) 6. 33. Evaluate the summation $\sum_{n=1}^5\left(3^n-1\right)$ A) 2+5+8+11+14=40. B) 2+8+26+80+242=358. C) 1+3+9+27+81=121. D) 2+4+16+32+64=118. Show Answer Correct Answer: B) 2+8+26+80+242=358. 34. Find the sum of the infinite geometric series, if it exists. $\frac{1}{2}-\frac{5}{3}+\frac{50}{9}-\frac{500}{27}+ ..... $ A) 19.5. B) Does Not Exist. C) 205. D) 108.75. Show Answer Correct Answer: B) Does Not Exist. 35. -8, -19, -30, -41, ..... 38th Term A) -418. B) -407. C) -426. D) -415. Show Answer Correct Answer: D) -415. 36. This type of series has a common difference: A) Arithmetic. B) Geometric. C) Neither. D) None of the above. Show Answer Correct Answer: A) Arithmetic. 37. Is the functiony = 5 * 4$^{x}$The same as the function$^{}$y = 20$^{x}$ A) No. B) Probably not. C) Maybe. D) Yes. Show Answer Correct Answer: A) No. 38. Classify this sequence as ARITHMETIC, GEOMETRIC or NEITHER.2, 202, 2002, 20002, ..... A) ARITHMETIC. B) GEOMETRIC. C) NEITHER. D) None of the above. Show Answer Correct Answer: C) NEITHER. 39. Determine if the sequence is arithmetic or not.-30, 70, 170, 270 A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 40. Generate the first 4 terms of the sequence with the following n$^{th}$ term rule ..... 3n-1 A) 2, 1, 0, -1 . B) 2, 4, 6, 8 . C) 2, 5, 8, 11 . D) 2, 6, 10, 14 . Show Answer Correct Answer: C) 2, 5, 8, 11 . 41. Evaluate $\lim_{x\rightarrow\infty}\frac{1}{3}n\left(-1\right)^n-5$ A) $-\infty$. B) $\infty$. C) DNE. D) $\frac{1}{3}$. Show Answer Correct Answer: C) DNE. 42. Find the sum:t$_{1}$ =-1, r = 3, n = 9 A) S$_{9}$ =-9841. B) S$_{9}$ =-9842. C) S$_{9}$ = 3280. D) S$_{9}$ =-4921. Show Answer Correct Answer: A) S$_{9}$ =-9841. 43. Find the sum of the infinite geometric series:200-100 + 50-25 + ..... A) 400 / 3. B) 525 / 2. C) 2 / 525. D) 3 / 400. Show Answer Correct Answer: A) 400 / 3. 44. In June, Cory begins to save money for a video game and a TV he wants to buy in December. He starts with $ 20. Each month he plans to save 10% more than the previous month. How much money will he have at the end of December? A) $ 189.74. B) $ 154.31. C) $ 251.59. D) $ 228.72. Show Answer Correct Answer: A) $ 189.74. 45. A sequence whose consecutive terms have a common difference is a/an ..... A) Geometric Series. B) Arithmetic Sequence. C) Arithmetic Series. D) Geometric Sequence. Show Answer Correct Answer: B) Arithmetic Sequence. 46. What is the Fibonacci number pattern? A) Adding the two numbers before it to get the next number. B) Subtracting the two numbers before it to get the next number. C) Counting up starting from 1 by 1. D) Multiplying the two numbers before it to get the next number. Show Answer Correct Answer: A) Adding the two numbers before it to get the next number. 47. The first two terms of an arithmetic sequence are given. Find the indicated term. $a_1=6, a_2=13, a_{10}=$ A) 76. B) 61. C) 69. D) 67. Show Answer Correct Answer: C) 69. 48. Which one of the following series diverges? A) $\sum_{n=1}^{\infty}\frac{n^2}{5^n}$. B) $\sum_{n=1}^{\infty}\frac{5^n}{n^2}$. C) $\sum_{n=1}^{\infty}\frac{\left(\cos x\right)^n}{n^2}$. D) $\sum_{n=1}^{\infty}\frac{5^n}{n!}$. Show Answer Correct Answer: B) $\sum_{n=1}^{\infty}\frac{5^n}{n^2}$. 49. What is the common ratio in this geometric sequence? {96, 48, 24, 12, ..... } A) 12. B) 2. C) 1/2. D) 24. Show Answer Correct Answer: C) 1/2. 50. Find the next two terms of the sequence 3, 8, 13, 18, ..... , ..... A) 22 and 27. B) 20 and 25. C) 23 and 28. D) 21 and 26. Show Answer Correct Answer: C) 23 and 28. 51. The "a" value in f(x)=a(b)$^{x}$ for geometric sequences represents what? A) Common ratio. B) First term. C) Common difference. D) Term we're looking for, minus one. Show Answer Correct Answer: B) First term. 52. Which of the following is the correct general term for the sequence ..... 8, 3, -2, -7, ..... A) $t_n=8+\left(n-1\right)\left(-5\right)$. B) $t_n=8+\left(-5n\right)$. C) $t_n=8+5\left(n-1\right)$. D) $t_n=8\left(-5\right)^{n-1}$. Show Answer Correct Answer: A) $t_n=8+\left(n-1\right)\left(-5\right)$. 53. The fourth and seventh terms of an arithmetic sequence are consecutive are 17 and 29. The 25th term of the sequence is ..... A) 81. B) 90. C) 101. D) None of the above. Show Answer Correct Answer: C) 101. 54. Which actress was cast as Belle in the upcoming Disney live-action 'Beauty and the Beast'? A) Chloe Grace Moretz. B) Emma Watson. C) Jennifer Lawrence. D) Jessica Alba. Show Answer Correct Answer: B) Emma Watson. 55. What is the next term of this arithmetic sequence 3, 6, 9, 12? A) 14. B) 16. C) 15. D) 13. Show Answer Correct Answer: C) 15. 56. Write the recursive formula for the following sequence?6, 4, 2, 0, ..... A) A$_{1}$ = 6, a$_{n}$ = a$_{n-1}$-2. B) A$_{n}$ =-2n + 8. C) A$_{1}$ = 6, a$_{n}$ = a$_{n-1}$ + 2. D) A$_{1 }$=6, a$_{n}$ = a$_{n}$-1-2. Show Answer Correct Answer: A) A$_{1}$ = 6, a$_{n}$ = a$_{n-1}$-2. 57. Find the sum of the arithmetic series an = 145, d = 5, n = 21 A) 2001. B) 1250. C) 1995. D) 2458. Show Answer Correct Answer: C) 1995. 58. Find two geometric means between 5 and 40. A) -10, -20. B) 10, 20. C) 15, 25. D) 16.67, 28.34. Show Answer Correct Answer: B) 10, 20. 59. The number of seats in each row of a concert hall follows the sequence below:a$_{n}$ = 16 + 2nHow many seats are in the first 20 rows? A) 740. B) 56. C) 18. D) 1480. Show Answer Correct Answer: A) 740. 60. What is the value of r for the following sequence.1/2+1/4+1/8+1/16+ ..... A) -1/2. B) 1/2. C) 2. D) -2. Show Answer Correct Answer: B) 1/2. ← 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 6Class 11 Mathematics Chapter 9 Sequences And Series Quiz 7Class 11 Mathematics Chapter 9 Sequences And Series Quiz 8 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books