This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 5 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 5 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Find S$_{n}$ for the series where a$_{1 }$= 22, d =-8, and n = 21. A) 1911. B) -1449. C) -2436. D) -1218. Show Answer Correct Answer: D) -1218. 2. Apply the formula for the sum of a finite geometric series to find the sum of the series $1, -2, 4, -8, 16, -32$ A) -63. B) 63. C) -31. D) 31. Show Answer Correct Answer: B) 63. 3. Find the sum of all 4-digit numbers. A) 49, 495, 500. B) 50, 500, 500. C) 333, 456, 700. D) 21, 444, 321. Show Answer Correct Answer: A) 49, 495, 500. 4. It is a sequence that has a common difference. A) Arithmetic Means. B) Arithmetic Sequence. C) Arithmetic Series. D) Arithmetic Pattern. Show Answer Correct Answer: B) Arithmetic Sequence. 5. What are the values of p for which the series $\sum_{n=1}^{\infty}\left(-1\right)^{n+1}\frac{1}{n^p}$ A) $-1 B) $p>1$. C) $p>0$. D) $p<0$. Show Answer Correct Answer: C) $p>0$. 6. John has purchased 20 books. The 1st book cost $ 1, the 2nd cost $ 2, the 3rd cost $ 4, and the 4th cost $ 8, and so on. How much did John pay for the 20 books? A) $ 1, 048, 575. B) $ 2, 000, 000. C) $ 1, 555, 119. D) None of the above. Show Answer Correct Answer: A) $ 1, 048, 575. 7. If the sum to infinity of the geometric sequence $a, \-\frac{a}{3}, \\frac{a}{9}, \ ..... $ $\frac{45}{8}$ A) 15. B) $\frac{15}{8}$. C) $\frac{15}{4}$. D) $\frac{15}{2}$. Show Answer Correct Answer: D) $\frac{15}{2}$. 8. The common ratio is represented by ..... A) The variable r. B) The variable d. C) All the above. D) None of the above. Show Answer Correct Answer: A) The variable r. 9. What is the rule for the nth term of the geometric sequence with third term-12 and common ratio 3 A) -($^{4}$/$_{3}$)(3)$^{n-1}$. B) -($^{3}$/$_{4}$)(3)$^{n-1}$. C) -4(3)$^{n-1}$. D) -($^{1}$/$_{3}$)(3)$^{n-1}$. Show Answer Correct Answer: A) -($^{4}$/$_{3}$)(3)$^{n-1}$. 10. The first day the magazine was published the company got 190 responses but they were declining by 10% each day assuming this continues, how many total responses would the company get over the first 29 days? A) $S_n=\frac{190-190\left(.90\right)^{29}}{1-.90}$. B) $S_n=\frac{190-190\left(.10\right)^{29}}{1-.10}$. C) $S_n=\frac{190-190\left(1.10\right)^{29}}{1-1.10}$. D) $a_n=190\left(.90\right)^{n-1}$. Show Answer Correct Answer: A) $S_n=\frac{190-190\left(.90\right)^{29}}{1-.90}$. 11. Find the next three terms:1024, 768, 576, ..... A) 432, 216, 108. B) 384, 192, 0. C) 432, 324, 243. D) 320, 64, -192. Show Answer Correct Answer: C) 432, 324, 243. 12. Write the explicit formula for the following geometric sequence:10, 20, 40, 80, ..... A) A$_{n}$ = 10(2)$^{n-1}$. B) A$_{n}$ = 2(10)$^{n-1}$. C) A$_{n}$ = 10(2)$^{n}$. D) A$_{n}$ = 2(10)$^{n}$. Show Answer Correct Answer: A) A$_{n}$ = 10(2)$^{n-1}$. 13. Which formula is used to find the explicit equation for geometric sequences? A) A$_{n}$ = a$_{n-1}$ + d. B) A$_{n}$ = a$_{n-1}$ * r. C) A$_{n}$ = a$_{1}$ + d(n-1). D) A$_{n}$ = a$_{1}$ * r$^{n-1}$. Show Answer Correct Answer: D) A$_{n}$ = a$_{1}$ * r$^{n-1}$. 14. Which statement is correct for these series 1) 21+63+189+ ..... 2) 480+360+270+ ..... A) The first is convergent and the second is divergent. B) The first and the second both are convergent. C) The first is divergent and the second is convergent. D) Both are divergent. Show Answer Correct Answer: C) The first is divergent and the second is convergent. 15. *Infinitely many mathematicians walk into a pizza restaurant. The first says, "I'll have one pizza." The second says, "I'll have half a pizza." The third says, "I'll have a quarter of a pizza" , and so on ..... *How many Pizzas should the waiter give them???? A) 1. B) 2. C) 5. D) Infinity. Show Answer Correct Answer: B) 2. 16. The next term of the series 11, 8, 5, 2 is ..... A) -1. B) -2. C) 1. D) 2. Show Answer Correct Answer: A) -1. 17. The sum of the terms in a sequence is known as a Series. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 18. Find the 8th term of the sequence:an = 2(5)n-1 A) 156250. B) 80. C) 16. D) 10000000. Show Answer Correct Answer: A) 156250. 19. In a geometric sequence, u$_{4}$ = 405 and u$_{7}$ = 10935. Find the first term (u$_{1}$). A) 3. B) 5. C) 15. D) 45. Show Answer Correct Answer: C) 15. 20. An arithmetic sequence has a common ..... A) Difference. B) Ratio. C) All the above. D) None of the above. Show Answer Correct Answer: A) Difference. 21. What would be the missing terms of the series A) 125 + 625-3125 + 15625. B) 125-625-15625. C) 125-625-3125-15625. D) 625-3125-15625. Show Answer Correct Answer: C) 125-625-3125-15625. 22. What is the 9$^{th}$ term in a geometric sequence with a common ratio of 2 and a first term of 3? A) 384. B) 768. C) 1, 536. D) 27. Show Answer Correct Answer: B) 768. 23. The sum of first 'n' terms of an AP is (3n$^{2 }$+ 6n). The common difference of the AP is ..... A) 6. B) 9. C) 15. D) -3. Show Answer Correct Answer: A) 6. 24. Find the 8th term of the sequence:a$_{n}$ = 2(5)$^{n-1}$ A) 156250. B) 80. C) 16. D) 10000000. Show Answer Correct Answer: A) 156250. 25. Which term of the arithmetic sequence 2, 5, 8, ..... , is 110? A) 39. B) 38. C) 37. D) 36. Show Answer Correct Answer: C) 37. ← PreviousNext →Related 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 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 9Class 11 Mathematics Chapter 9 Sequences And Series Quiz 10Class 11 Mathematics Chapter 9 Sequences And Series Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books