This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 16 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 16 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Find the next three terms in the arithmetic sequence:-3, -8, -13, -18, ..... A) -23, -28, -33. B) -20, -24, -28. C) -24, -29, -32. D) -21, -25, -29. Show Answer Correct Answer: A) -23, -28, -33. 2. The first three terms of an arithmetic sequence are as follows.3, -4, -11Find the next two terms of this sequence A) -17 and-25. B) -18 and-26. C) -18 and-25. D) -17 and-26. Show Answer Correct Answer: C) -18 and-25. 3. Given the formula for a geometric sequence, $a_1$ $a_n=a_1r^{n-1}$ A) First term. B) Common difference. C) Wanted term. D) Common ratio. Show Answer Correct Answer: A) First term. 4. Given the sequence:25, 21, 17, 13, ..... Write the general term A) T$_{n }$=-4n + 29. B) T$_{n}$ =-4n + 25. C) T$_{n}$ = 4n + 29. D) T$_{n}$ = 4n + 25. Show Answer Correct Answer: A) T$_{n }$=-4n + 29. 5. As early as Grade 3, Khent was taught by his parents to save money. He has a piggy bank. He starts to deposit money every month in the following pattern for a period of two years:10, 15, 20, 25, and so on. How much will be the total amount of the money he has after two years? A) 135. B) 3, 240. C) 125. D) 1, 620. Show Answer Correct Answer: D) 1, 620. 6. The 6th term in the arithmetic sequence 18, 11, 4, ..... A) -24. B) -10. C) -17. D) -3. Show Answer Correct Answer: C) -17. 7. France had about 8700 new cases of Covid-19 on 7.April.2020. If the spread rate of the virus in France under quarantine was consistently 0.85, how many new cases of the virus would there be on 30.April.2020? A) About 176. B) About 207. C) About 244. D) None of the above. Show Answer Correct Answer: B) About 207. 8. What is the explicit formula for the sequence?-1, 2, -4, 8, ..... A) $a_n=-\frac{1}{4}\left(2\right)^{n-1}$. B) $a_n=-\left(-2\right)^{n-1}$. C) $a_n=-\frac{1}{2}\left(2\right)^{n-1}$. D) $a_n=-2\left(-\frac{1}{2}\right)^{n-1}$. Show Answer Correct Answer: B) $a_n=-\left(-2\right)^{n-1}$. 9. Find the 25th term of the sequence if a$_{1}$ = 5 and d = 0.5.Meaning the first term is 5 and the common difference is 0.5. A) 18. B) 15. C) 17. D) 14TagsCCSS.MATH.CONTENT.HSF.BF.A.1CCSS.MATH.CONTENT.HSF.BF.A.2CCSS.MATH.CONTENT.HSF.LE.A.2. Show Answer Correct Answer: C) 17. 10. Determine if this represents a ..... 50000, 5000, 500, 50 ..... A) Geometric Sequence. B) Arithmetic Series. C) Geometric Series. D) Arithmetic Sequence. Show Answer Correct Answer: A) Geometric Sequence. 11. The current population of Somalia is about 1.1 million. The population has an annual increase of 2.9% of their population. Which is the correct NOW-NEXT statement to represent their total population? A) NEXT= 2.9xNOW. B) NEXT= 0.0029xNOW. C) NEXT= 1.29xNOW. D) NEXT = 1.029xNOW. Show Answer Correct Answer: D) NEXT = 1.029xNOW. 12. Find the sum:11 + 15 + 19 + ..... + 83 A) 893. B) 19. C) 624. D) 83. Show Answer Correct Answer: A) 893. 13. A student group starts walking for exercise. They start by walking 1 mile. They increase the distance they walk by 0.1 miles every day. If they do this for a 31 day month how far will they walk? A) 62 miles. B) 80 miles. C) 77.5 miles. D) 100 miles. Show Answer Correct Answer: C) 77.5 miles. 14. The first term of a geometric sequence is 18 and the common ratio is 3.5. What is the 5th term of the sequence? A) 2700. B) 2913.24. C) 2701. D) 2701.125. Show Answer Correct Answer: D) 2701.125. 15. The expression formed by adding the terms of a geometric sequence is called ..... A) Common ratio. B) Geometric sequence. C) Geometric means. D) Geometric series. Show Answer Correct Answer: D) Geometric series. 16. Find the sum of the first 18 terms of arithmetic progressions-8, 0, 8, ..... A) 1080. B) -1800. C) -1080. D) 1800. Show Answer Correct Answer: A) 1080. 17. Write a rule for the arithmetic sequence. 2, 6, 10, 14, ..... A) A$_{n }$= 2n + 4. B) A$_{n }$= 3n-2. C) A$_{n }$= 4 + 2. D) A$_{n }$= 4n-2. Show Answer Correct Answer: D) A$_{n }$= 4n-2. 18. Classify this sequence as ARITHMETIC, GEOMETRIC or NEITHER.-2, 6, -18, 54, ..... A) ARITHMETIC. B) GEOMETRIC. C) NEITHER. D) None of the above. Show Answer Correct Answer: B) GEOMETRIC. 19. Find the next 3 numbers in the sequence.24, 34, 44, 54, 64, ..... , ..... , ..... A) 46, 45, 44. B) 74, 84, 94. C) 76, 87, 98. D) 10, 20, 30. Show Answer Correct Answer: B) 74, 84, 94. 20. What is the common difference of the following sequence?7, 27, 47, 67, ..... A) 3. B) 10. C) 20. D) -20. Show Answer Correct Answer: C) 20. 21. Write an EXPLICIT formula for the sequence defined by $a_1=96\\\\\\\\\\a_n=-\frac{1}{4}a_{n-1}$ A) $a_n=96+\left(n-1\right)\left(-\frac{1}{4}\right)$. B) $a_n=96\left(-\frac{1}{4}\right)^{n-1}$. C) All the above. D) None of the above. Show Answer Correct Answer: B) $a_n=96\left(-\frac{1}{4}\right)^{n-1}$. 22. Evaluate the infinite geometric series3-2 + $\frac{4}{3}$ $\frac{8}{9}$ A) $\frac{5}{4}$. B) Does Not Exist. C) $\frac{9}{5}$. D) $\frac{5}{6}$. Show Answer Correct Answer: C) $\frac{9}{5}$. 23. Which of the following is NOT a geometric sequence? A) 14, 28, 42, 56. B) 8, 24, 72, 216. C) 2, 18, 162, 1458. D) 6, 18, 54, 162. Show Answer Correct Answer: A) 14, 28, 42, 56. 24. In some investment accounts interest is computed on interest that has been earned in previous years. What is this method of computing interest called? A) Compound interest. B) Not enough information. C) Simple interest. D) Double interest. Show Answer Correct Answer: A) Compound interest. 25. Find the next term:81, 9, 1, 1/9, ..... A) 18. B) 1/81. C) 1/18. D) 1/27. Show Answer Correct Answer: B) 1/81. 26. Find the 8th term of the sequence:t(n) = 2(5)$^{n-1}$ A) 16. B) 10000000. C) 80. D) 156250. Show Answer Correct Answer: D) 156250. 27. In geometric series if r =-1, and n is odd number, then the sum of its geometric sequence is equal to A) Its common ratio. B) Its first term. C) 1. D) 0. Show Answer Correct Answer: B) Its first term. 28. Evaluate S$_{12}$ for the arithmetic series where:a$_{1}$=?, a$_{12}$=48, and d=4 A) 620. B) 312. C) 624. D) 310. Show Answer Correct Answer: B) 312. 29. Each year a school manages to only use 90% of the paper they used the previous year. In 2003 they used 700 000 sheets of paper. How many sheets of paper did the school use in 2004 & 2005? A) 70 000 & 7000 sheets. B) 630 000 & 567 000 sheets. C) 610 000 & 520 000 sheets. D) 1.3 million & 2.52 million sheets. Show Answer Correct Answer: B) 630 000 & 567 000 sheets. 30. Find the next two terms of the sequence 4, 12, 36, 108, ..... , ..... A) 216 and 648. B) 432 and 1, 296. C) 540 and 1, 080. D) 324 and 972. Show Answer Correct Answer: D) 324 and 972. 31. Which pattern follows the rule below?Rule:Start with 10 each term is 6 more than the previous term A) 10, 16, 22, 27, 34, 40, 46, 52. B) 10, 16, 22, 28, 34, 40, 46, 52. C) 10, 16, 22, 28, 33, 39, 45, 51. D) 10, 16, 21, 27, 33, 39, 45, 51. Show Answer Correct Answer: B) 10, 16, 22, 28, 34, 40, 46, 52. 32. The sum of the terms of a geometric sequence. A) Diverges. B) Limits. C) Converges. D) Geometric Series. Show Answer Correct Answer: D) Geometric Series. 33. Does the sequence a$_{n}$ = cos(n/2) converge or diverge? A) Diverge. B) Converge and the limit is 1/2. C) Converge and the limit is 1. D) Converge and the limit is 0. Show Answer Correct Answer: A) Diverge. 34. 27, -9, 3, -1 ..... For the geometric sequence, determine:a) the common ratio, b) the sixth term, A) R =-3b)-1/3. B) R = 3b) 1/3. C) R =-1/3b)-1/9. D) R =-1/3b) 1/3. Show Answer Correct Answer: C) R =-1/3b)-1/9. 35. Find the 32nd term of this sequence.9, 4, -1, -6, -11, ..... (Hint:Write your equation for the nth term first!) A) -146. B) -34. C) -225. D) 81. Show Answer Correct Answer: A) -146. 36. Is the following a geometric series 1, 2, 4, 8, 16, , , ? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 37. What type of series is 32 + 16 + 8 + 4 + 2 + 1 A) Infinite Arithmetic. B) Finite Arithmetic. C) Infinite Geometric. D) Finite Geometric. Show Answer Correct Answer: D) Finite Geometric. 38. Find S$_{14}$ 7, 2, -3, ..... A) -812. B) -945. C) -357. D) 119. Show Answer Correct Answer: C) -357. 39. The nth term of a sequence is $3n^2-3n+2$ A) 38. B) 20. C) 74. D) 301. Show Answer Correct Answer: B) 20. 40. What are the next values in the sequence?-2, 10, -50, 250 ..... A) -255, 260, -265, 270. B) -1250, 6250, -31250, 156250. C) 500, -1000, 5000, -10000. D) -500, 1000, -5000, 10000. Show Answer Correct Answer: B) -1250, 6250, -31250, 156250. 41. $\frac{1}{3\cdot2}+\frac{1}{4\cdot3}+ ..... +\frac{1}{8\cdot7}$ A) $\sum_{n=1}^6\frac{1}{\left(n+2\right)!}$. B) $\sum_{n=1}^4\frac{1}{\left(n+1\right)\left(n+2\right)}$. C) $\sum_{n=1}^6\frac{1}{n\left(n+1\right)}$. D) $\sum_{n=1}^6\frac{1}{\left(n+1\right)\left(n+2\right)}$. E) $\sum_{n=0}^5\frac{1}{\left(n+1\right)\left(n+2\right)}$. Show Answer Correct Answer: D) $\sum_{n=1}^6\frac{1}{\left(n+1\right)\left(n+2\right)}$. 42. If a, 4, b are in Arithmetic Progression; a, 2, b are in Geometric Progression; then a, 1, b are in A) A.P. B) G.P. C) H.P. D) None of these. Show Answer Correct Answer: C) H.P. 43. Find the sum:$\sum_{n=1}^7\left[\left(8n-5\right)\left(n-1\right)\right]$ A) $\infty$. B) 794. C) 0. D) 791. Show Answer Correct Answer: D) 791. 44. Identify the common difference in the given arithmetic sequence. 10, 20, 30, 40, ..... A) 20. B) 15. C) 5. D) 10. Show Answer Correct Answer: D) 10. 45. Find the sum of-4 + 1 + 6 + 11 + ..... + 91 A) 640. B) 320. C) 500. D) 870. Show Answer Correct Answer: D) 870. 46. Given the following:$a_1=-3, \d=2, \S_n=21$ A) 9. B) 7. C) 5. D) 11. Show Answer Correct Answer: B) 7. 47. Recursive formulas are mainly used for providing the ..... and the ..... in an arithmetic sequence. A) First termandlast term. B) First termandcommon difference. C) Previous termandfinal term. D) None of these. Show Answer Correct Answer: B) First termandcommon difference. 48. $\frac{10!}{9!}$ A) 900. B) 1. C) 9. D) 10. Show Answer Correct Answer: D) 10. 49. Evaluate each series described (n is the number of terms in the series):28 + 35 + 42 + 49 + ..... , n = 10 A) 2384. B) 1192. C) 595. D) 1190. Show Answer Correct Answer: C) 595. 50. Determine the 3rd term of the sequence.a$_{1}$=5 a$_{n}$= 2a$_{n-1 }$-1 A) 14. B) 17. C) 13. D) 16. Show Answer Correct Answer: B) 17. 51. Given the recursive formula, find the 500th term:a$_{n}$ = a$_{n-1}$-3 a$_{1}$ = 15 A) -1482. B) -22455. C) 1512. D) -1485. Show Answer Correct Answer: A) -1482. 52. Use the first three terms of the trigonometric series and a calculator to approximate the value of sin (pi/3) to four decimal places. A) 0.866. B) 1.2491. C) 0.8663. D) 0.8453. Show Answer Correct Answer: C) 0.8663. 53. What does a$_{1}$ represent? A) Any term. B) First term. C) Last term. D) None of the above. Show Answer Correct Answer: B) First term. 54. In a geometric sequence, the 4th term is-12 and the 5th term is-24. Find the common ratio. A) $\frac{1}{2}$. B) $-\frac{1}{2}$. C) -2. D) 2. Show Answer Correct Answer: D) 2. 55. Given:$a_1=2$ $a_n=-5a_{n-1}+2$ $a_3$ A) -8. B) 2. C) -208. D) 42. Show Answer Correct Answer: D) 42. 56. Write the EXPLICIT rule for the arithmetic sequence-10, -3, 4, 11, ..... A) A$_{n}$ =-7n + 17. B) A$_{n}$ = 7n-17. C) A$_{n }$= 10n + 17. D) A$_{n}$ = 7n + 3. Show Answer Correct Answer: B) A$_{n}$ = 7n-17. 57. Let a$_{n}$ be the nth term of an arithmetic sequence. If a$_{10}$ = 33 and a$_{15}$ = 18, which of the following is/are true?I. The common difference is-3.II. 63 is a term of the sequence.III. The sequence has 21 non-negative terms. A) I only. B) II only. C) I and III only. D) II and III only. Show Answer Correct Answer: C) I and III only. 58. What is the common difference in the sequence:-4, 3, 10, 17, , ..... ? A) $7$. B) 7 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $7$. 59. What is the 5$^{th}$ term of the sequence with the formula a$_{n}$ = (-2)$^{n}$-2$^{n }$? A) 0. B) -32. C) -64. D) 32. Show Answer Correct Answer: C) -64. 60. Find the geometric mean between 16 and 4 A) 12 or-12. B) 8 or-8. C) 6 or-6. D) 8 or 10. Show Answer Correct Answer: B) 8 or-8. ← 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