This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 9 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 9 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Find the sum:11 + 12 + 13 + ..... + 40 A) 765. B) 76. C) 791. D) 739.5. Show Answer Correct Answer: A) 765. 2. The geometric mean between the first two terms in a geometric sequence is 24 . If the third term is 8, find the first term. A) 72. B) 64. C) 256. D) 56. Show Answer Correct Answer: A) 72. 3. Find a formula for an for the arithmetic sequence. $a_3=11, a_8=21$ A) $a_n=5+2n$. B) $a_n=2+7n$. C) $a_n=7+2n$. D) $a_n=-5+7n$. Show Answer Correct Answer: A) $a_n=5+2n$. 4. In what type of sequence do you MULTIPLY a nonzero constant to the previous term? A) Arithmetic. B) Geometric. C) All the above. D) None of the above. Show Answer Correct Answer: B) Geometric. 5. Iseleah takes out a simple interest car loan to pay for her $ 8000 Toyota Camry. The interest rate is 6% and she will not pay anything for 4 years. How much money will Iseleah owe the bank after 4 years? A) $ 1920. B) $ 9920. C) $ 12800. D) $ 4800. Show Answer Correct Answer: B) $ 9920. 6. Joey created the arithmetic pattern below:1, 6, 11, 16, ..... What would the 7th term be in the pattern? A) 31. B) 21. C) 36. D) 26. Show Answer Correct Answer: A) 31. 7. Rewrite the series below in sigma notation:4+8+16+32+64 A) $\sum_{n=1}^52\left(2\right)^n$. B) $\sum_{n=1}^58\left(\frac{1}{2}\right)^n$. C) $\sum_{n=4}^{64}\left(n\right)$. D) $\sum_{n=1}^54\left(2\right)^{\left(n-1\right)}$. Show Answer Correct Answer: A) $\sum_{n=1}^52\left(2\right)^n$. 8. Is the sequence-4, -12, -36, -108, ..... geometric? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 9. Which of the following is the common difference of the arithmetic sequence 4, 7, 10, 13, ..... ? A) 2. B) 1. C) 3. D) 0. Show Answer Correct Answer: C) 3. 10. Given the sequence:125, 25, 5, ..... Write the explicit rule: A) $a_n=125\cdot5^n$. B) $a_n=125\left(\frac{1}{5}\right)^{n-1}$. C) $a_n=625\cdot5^n$. D) $a_n=125+5n$. Show Answer Correct Answer: B) $a_n=125\left(\frac{1}{5}\right)^{n-1}$. 11. Find the 22nd term of the following arithmetic sequence:5, 8, 11, ..... A) 71. B) 68. C) 14. D) 63. Show Answer Correct Answer: B) 68. 12. Given the sequence:a$_{n}$ = n! + 1What is the 6th term? A) 721. B) 121. C) 7. D) 719. Show Answer Correct Answer: A) 721. 13. The common difference of this arithmetic sequence {19, 16, 13, 10} A) 3. B) -3. C) 19. D) None of the above. Show Answer Correct Answer: B) -3. 14. Find the 10th term of the arithmetic sequence:3, 7, 11, 15, ..... A) 30. B) 25. C) 35. D) 20. Show Answer Correct Answer: C) 35. 15. A company produces 500 units of a product per day. If the production rate increases by 20% for the next 5 days, how many units will be produced in total during that period? A) 3720.8 units. B) 4000 units. C) 3500 units. D) 4200 units. Show Answer Correct Answer: A) 3720.8 units. 16. The third term of a geometric sequence is 96 and the fifth term is 1536. What is the sum of the first ten terms of the sequence? A) 4, 092. B) 2, 097, 150. C) 33, 554, 400. D) 1, 572, 864. Show Answer Correct Answer: B) 2, 097, 150. 17. -5, -2, 3, 10, ..... Find the 11th term of this sequence. A) 115. B) 138. C) 11. D) 94. Show Answer Correct Answer: A) 115. 18. Write a recursive formula for the sequence 17, 13, 9, 5 ..... A) A$_{n}$=a$_{n-1}$-4. B) A$_{n}$=a$_{n-1}$-17. C) A$_{n}$=a$_{n-1}$ +4. D) None of the above. Show Answer Correct Answer: A) A$_{n}$=a$_{n-1}$-4. 19. Which formula would determine the SUM of the first 8 terms of the following sequence?75, 70.5, 66.27, ..... A) $S_n=\frac{75-75\left(.94\right)^8}{1-.94}$. B) $S_n=\frac{75-75\left(1.06\right)^8}{1-1.06}$. C) $a_n=75\left(.94\right)^{8-1}$. D) $a_n=75\left(1.06\right)^{8-1}$. Show Answer Correct Answer: A) $S_n=\frac{75-75\left(.94\right)^8}{1-.94}$. 20. Find the common ratio of the geometric sequence:$2, \\frac{1}{2}, \\frac{1}{8}, \\frac{1}{32}, \ ..... $ A) $\frac{1}{4}$. B) $\frac{1}{3}$. C) $\frac{1}{12}$. D) $\frac{1}{16}$. Show Answer Correct Answer: A) $\frac{1}{4}$. 21. Find the 20th term of the sequence 5, 8, 11, ..... A) 71. B) 62. C) 65. D) 75. Show Answer Correct Answer: B) 62. 22. State the first 4 terms of a geometric sequence with a = 4 and r = 5 A) 5, 20, 80, 320. B) 4, 9, 14, 19. C) 4, 20, 100, 500. D) 4, 20, 36, 52. Show Answer Correct Answer: C) 4, 20, 100, 500. 23. What is the sum of the 11 terms of the arithmetic sequence 28, 34, 40, 46, 52, ..... , 88? A) 600. B) 540. C) 724. D) 638. Show Answer Correct Answer: D) 638. 24. What is the following sequence15, 30, 45, 60, 75, ..... A) +15 arithmetic. B) X2 geometric. C) X2 arithmetic. D) +15 geometric. Show Answer Correct Answer: A) +15 arithmetic. 25. $-4-7-10 ..... 106=$ A) $-1925$. B) -1925 Mathematical EquivalenceOFF. C) All the above. D) None of the above. Show Answer Correct Answer: A) $-1925$. 26. A sailboat that costs $ 5, 950 decreases in value by 11% per year. How much will the boat be worth after 6 years? A) $ 2, 992.96. B) $ 2, 957.04. C) $ 5, 884.00. D) $ 5, 178.97. Show Answer Correct Answer: B) $ 2, 957.04. 27. What is the 100th term in the sequence a$_{n}$ = 4n-12 A) 100. B) 40012. C) -388. D) 388. Show Answer Correct Answer: D) 388. 28. Which of the following is the correct formula for finding the Arithmetic Series? A) $S_n=\frac{n}{2}\left(a_1\cdot a_n\right)$. B) $S_n=2n\left(a_1\cdot a_n\right)$. C) $S_n=\frac{n}{2}\left(a_1+a_n\right)$. D) $S_n=2n\left(a_1+a_n\right)$. Show Answer Correct Answer: C) $S_n=\frac{n}{2}\left(a_1+a_n\right)$. 29. Let a$_{n}$ be the nth term of a geometric sequence. It is given that a$_{6}$-a$_{5}$ = 8 and a$_{7}$-a$_{6}$ = 24. The common ratio is A) $\frac{1}{2}$. B) 3. C) 2. D) $\frac{1}{3}$. Show Answer Correct Answer: B) 3. 30. The cost of tuition at a college is $ 12, 000 and is increasing at a rate of 6% per year. What will the cost be after 4 years? A) $ 15149.72. B) $ 3149.72. C) $ 3149.72. D) $ 1472.95. Show Answer Correct Answer: A) $ 15149.72. 31. Calculate the sum of the first 15 terms of the arithmetic sequence where $a_1 = 7$ $d = 3$ A) 360. B) 315. C) 345. D) 330. Show Answer Correct Answer: C) 345. 32. What is the 67$^{th}$ term of the following arithmetic sequence.13, 22, 31, 40, ..... A) 625. B) 607. C) -445. D) 67. Show Answer Correct Answer: B) 607. 33. What is the 10th term of the arithmetic sequence 2, 5, 8, 11, ..... ? A) 14. B) 29. C) 32. D) 20. Show Answer Correct Answer: B) 29. 34. Is this sequence Arithmetic, Geometric, or Neither?{14, 22, 30, 38, ..... } A) Arithmetic. B) Geometric. C) Neither. D) None of the above. Show Answer Correct Answer: A) Arithmetic. 35. Given the sequence 30, 40, 50, 60 ..... , which recursive formula describes it? A) $t_1=30$ $t_n=t_{n-1}+10$. B) $t_1=10$ $t_n=t_{n-1}+30$. C) $t_n=10$ $t_1=t_{n-1}+30$. D) None of the above. Show Answer Correct Answer: A) $t_1=30$ $t_n=t_{n-1}+10$. 36. Which sequence is an arithmetic sequence? A) 3, 6, 10, 15, . B) 3, 6, 12, 24, . C) 3, 7, 11, 15, . D) 3, 6, 2, 7, . Show Answer Correct Answer: C) 3, 7, 11, 15, . 37. Determine the next 3 terms of the arithmetic sequence:14, 9, 4, -1, ..... A) -6, -11, -16. B) -5, -10, -15. C) -4, -9, -14. D) 5, 10, 15. Show Answer Correct Answer: A) -6, -11, -16. 38. Tuition today is $ 4, 300.00 per semester. Next year there will be a 2.5% increase. How much will tuition be next year? A) $ 4, 407.50. B) $ 5, 375.00. C) $ 15, 050.00. D) $ 4, 310.75. Show Answer Correct Answer: A) $ 4, 407.50. 39. Which formula would correctly determine the SUM of the first 8 terms of the following series. 80, 20, 5, ..... A) $S_n=\frac{80-80\left(\frac{1}{4}\right)^8}{1-\frac{1}{4}}$. B) $a_n=80\left(4\right)^{8-1}$. C) $S_n=\frac{80-80\left(4\right)^8}{1-4}$. D) $a_n=80\left(\frac{1}{4}\right)^{8-1}$. Show Answer Correct Answer: A) $S_n=\frac{80-80\left(\frac{1}{4}\right)^8}{1-\frac{1}{4}}$. 40. Write an arithmetic sequence that has three arithmetic means between 3.5 and 2.7. A) 3.5, 3.25, 3.05, 2.85, 2.7. B) 3.5, 3.3, 3.1, 2.9, 2.7. C) 3.5, 3.35, 3.15, 2.95, 2.7. D) 3.5, 3.4, 3.1, 2.8, 2.7. Show Answer Correct Answer: B) 3.5, 3.3, 3.1, 2.9, 2.7. 41. Find the common difference:-18, -23, -28, -33, ..... A) D = 5. B) D = 3. C) D =-5. D) D =-3. Show Answer Correct Answer: C) D =-5. 42. The sum of the 2nd term and the 3th term of an arithmetic sequence is 20 while the sum of the 5th term and the 6th term of the sequence is 32. The first term of the sequence is A) 7. B) -2. C) 2. D) -7. Show Answer Correct Answer: A) 7. 43. Mr. Carlson suffers from allergies. When allergy season arrives, his doctor recommends that he take 300 mg of his medication the first day, and decrease the dosage by one half each day for one week. Which "rule" represents his medication doses for the week? A) F(n)=(1/2)$^{n-1}$. B) F(n)=(1/2)n. C) F(n)=300+(1/2)n. D) F(n)=300(1/2)$^{n-1}$. Show Answer Correct Answer: D) F(n)=300(1/2)$^{n-1}$. 44. Find the sum of the finite arithmetic series7 + 14 + 21 + ..... + 105 A) 840. B) 620. C) 1283. D) 245. Show Answer Correct Answer: A) 840. 45. The common difference in the arithmetic sequence $\frac{1}{2}, \\frac{5}{6}, \\frac{7}{6}, \\frac{3}{2}, \\frac{11}{6}, \ ..... $ A) 3. B) $\frac{1}{3}$. C) $\frac{5}{12}$. D) 9. Show Answer Correct Answer: B) $\frac{1}{3}$. 46. Sally is making $ 13.50 per hour. She expects a salary increase of 3%. How much will she make in a 40-hour week at the new rate? A) Not here. B) $ 556.20. C) $ 588.00. D) $ 523.80. Show Answer Correct Answer: B) $ 556.20. 47. A geometric sequence has a first term a$_{1 }$= 360 and common ratio r= 1/2, what is the fifth term? A) 21.5. B) 22.5. C) 20.5. D) 23.5. Show Answer Correct Answer: B) 22.5. 48. A lemonade stand starts 10 weeks before the end of the summer. It makes $ 8 the first week, $ 11 the second week, $ 14 the third week, and so on. How much will it make for the whole summer? A) $ 215. B) $ 160. C) $ 340. D) $ 80. Show Answer Correct Answer: A) $ 215. 49. Insert three arithmetic means between 22 and 42. A) 24, 29 34. B) 25, 30, 35. C) 26, 31, 36. D) 27, 32, 37. Show Answer Correct Answer: D) 27, 32, 37. 50. Find the 7th term in the sequence when the first term is 2, and the common ratio is 4 A) 8192. B) 2048. C) 512. D) 32768. Show Answer Correct Answer: A) 8192. 51. The sum 1 + 3 + 5 + 7 +9 equals A) $9^2$. B) $6^2$. C) $4^2$. D) $5^2$. Show Answer Correct Answer: D) $5^2$. 52. Find the missing terms:8, 16, 32, ..... , 128, ..... A) 64 & 256. B) 64 & 265. C) 43 & 263. D) 58 & 265. Show Answer Correct Answer: A) 64 & 256. 53. Which kind of sequence has a common difference? A) Arithmetic. B) Geometric. C) All the above. D) None of the above. Show Answer Correct Answer: A) Arithmetic. 54. A newly-opened bakery initially ordered 50 kilograms of flour from its supplier. The demand for their malunggay pandesal went up so the order of flour increased by 10% every week. How many kilograms of flour will the supplier provide in the 8$^{th}$ week? A) 98.44 kilograms. B) 97.44 kilograms. C) 91.44 kilograms. D) 100.44 kilograms. Show Answer Correct Answer: B) 97.44 kilograms. 55. Classify the following sequence as arithmetic, geometric, or neither:-9, -6, -3, 0, 3, 6, ..... A) Geometric. B) Arithmetic. C) Neither. D) None of the above. Show Answer Correct Answer: B) Arithmetic. 56. What is a$_{5}$ if a$_{n}$ = 2*4$^{n}$? A) 32, 768. B) 2048. C) All the above. D) None of the above. Show Answer Correct Answer: B) 2048. 57. You and your friend are going to a private concert. The first row in the venue seats 8. Each row after has 3 more in it then the row before. If there are 10 rows in this venue, how many seats are in the venue? A) $215$. B) $210$. C) $197$. D) $201$. Show Answer Correct Answer: A) $215$. 58. Evaluate the geometric series described. $3+15+75+375 ..... , \\\\n=6$ A) 11, 718. B) 9, 769. C) 10, 603. D) $-\frac{3}{4}$. Show Answer Correct Answer: A) 11, 718. 59. A sequence in which each term is obtained by multiplying the preceding term by a constant is called a/an ..... A) Infinite Sequence. B) Finite Sequence. C) Geometric Sequence. D) Arithmetic Sequence. Show Answer Correct Answer: C) Geometric Sequence. 60. Find the sum of the first 9 terms in the arithmetic sequence.2, -7, -16 ..... A) -306. B) -324. C) -17. D) 324. Show Answer Correct Answer: A) -306. ← 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