This quiz works best with JavaScript enabled. Home > Class 11 > 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 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. An auditorium has 20 seats on the first row, 24 seats on the second row, 28 seats on the third row, and so on and has 30 rows of seats. How many seats are in the last row? A) Arithmetic. B) Geometric. C) Neither. D) None of the above. Show Answer Correct Answer: A) Arithmetic. 2. Find the sum of the infinite geometric series. $\sum_{n=0}^{\infty}4\left(-\frac{3}{4}\right)^n$ A) $-\frac{16}{7}$. B) $\frac{16}{7}$. C) $\frac{4}{7}$. D) $-\frac{4}{7}$. Show Answer Correct Answer: B) $\frac{16}{7}$. 3. What is the next term in the sequence 1, 4, 9, 16, 25, ..... ? A) 34. B) 36. C) 39. D) 41. Show Answer Correct Answer: B) 36. 4. Solve for the first term of the geometric sequence ..... , 36, 216, 1296, 7776, 46656. A) 8. B) 6. C) 4. D) 2. Show Answer Correct Answer: B) 6. 5. Find the sum:100 + 40 + 16 + 6.4 + ..... A) 250. B) 166.67. C) 164.96. D) Infinity. Show Answer Correct Answer: B) 166.67. 6. If 6 + 8 + 10 + + (4 + 2n) = n(n + 5), which statement verifies that S$_{n}$ is valid for n = 1? A) 6 + 8 = 2(2 + 5); 14 = 14. B) 6 = 1(1 + 5); 6 = 6. C) 6 + 8 + 10 = 3(3 + 5); 24 = 24. D) 6 + 8 + 10 + 12 = 4(4 + 5); 36 = 36. Show Answer Correct Answer: B) 6 = 1(1 + 5); 6 = 6. 7. The harmonic series $\sum_{ }^{ }\frac{1}{n^p}$ $p\le1$ $p\ge1$ A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 8. Is this sequence Arithmetic, Geometric, or Neither?\{2, 9, 7, 14, 12, 19, ..... \} A) Arithmetic. B) Geometric. C) Neither. D) None of the above. Show Answer Correct Answer: C) Neither. 9. A website starts with 120 users. The expect to gain 20% every year. What is the explicit rule for this growth? A) $a_n=120\left(20\right)^{\left(n-1\right)}$. B) $a_n=20\left(120\right)^{\left(n-1\right)}$. C) $a_n=120\left(1.20\right)^{\left(n-1\right)}$. D) $a_n=120\left(0.20\right)^{\left(n-1\right)}$. Show Answer Correct Answer: C) $a_n=120\left(1.20\right)^{\left(n-1\right)}$. 10. Find t(n) for the given series:t(1) =22d =-8n = 21 A) 1911. B) -1449. C) -2436. D) -1218. Show Answer Correct Answer: D) -1218. 11. What is the 5th term of the geometric sequence:2, 6, 18, 54, ..... ? A) 108. B) 81. C) 162. D) 36. Show Answer Correct Answer: C) 162. 12. Add the terms of the geometric sequence:7, 21, 63, 189, 567, 1701, 5103. A) 6000. B) 7000. C) 7651. D) 6751. Show Answer Correct Answer: C) 7651. 13. If the sum of the first n terms of a geometric sequence is 32-2$^{5-n}$, then the 5th term is A) 1. B) 4. C) 16. D) 32. Show Answer Correct Answer: A) 1. 14. Find the rule for this geometric sequence:r = 3 a$_{3}$ =-12 A) A$_{n}$ = (-4/3) (3)$^{n-1}$. B) A$_{n}$ =-4 (3)$^{n-1}$. C) A$_{n}$ = (-3/4) (3) $^{n-1}$. D) None of the above. Show Answer Correct Answer: A) A$_{n}$ = (-4/3) (3)$^{n-1}$. 15. What would the second term be? f(n) = 3$^{n}$ + 3 A) 12. B) 9. C) 30. D) 3. Show Answer Correct Answer: A) 12. 16. Find a$_{1 for the geometric series }$S$_{n = 1020, }$a$_{n = 4, r = 1/2}$ A) 51/65. B) 85/96. C) 68/91. D) 28/96. Show Answer Correct Answer: C) 68/91. 17. Find a$_{9}$ in the sequence 4, 8, 16, 32, ..... A) 384. B) 512. C) 768. D) 1, 024. Show Answer Correct Answer: D) 1, 024. 18. What is the sum of the infinite geometric series $15+15\left(\frac{8}{9}\right)+15\left(\frac{8}{9}\right)^2+15\left(\frac{8}{9}\right)^3+ ..... $ A) -120. B) $\frac{135}{17}$. C) $\frac{135}{8}$. D) 135. Show Answer Correct Answer: D) 135. 19. Find the 9th term of the geometric sequence:3, -6, 12, -24, ..... A) 768. B) 796. C) 786. D) 1536. Show Answer Correct Answer: A) 768. 20. If a, b, c are in G.P and x, y are A.M's between a, b and b, c respectively, then A) $\frac{1}{x}+\frac{1}{y}=2$. B) $\frac{1}{x}+\frac{1}{y}=\frac{1}{2}$. C) $\frac{1}{x}+\frac{1}{y}=\frac{2}{a}$. D) $\frac{1}{x}+\frac{1}{y}=\frac{2}{b}$. Show Answer Correct Answer: D) $\frac{1}{x}+\frac{1}{y}=\frac{2}{b}$. 21. Which term is 12, 288 in the sequence given by:3, 6, 12, 24, ..... A) 11. B) 12. C) 13. D) 14. Show Answer Correct Answer: C) 13. 22. A fitness club opens with 80 members. Each month the membership increases by 15 members. If the total fitness club membership is 200 people, how many months has the club been opened? A) 6. B) 105. C) 8. D) 18. Show Answer Correct Answer: C) 8. 23. Given the sequence:125, 25, 5, ..... Write the rule a$_{n}$ using the geometric sequence formula: A) A$_{n}$ = (125)(1/5)$^{(n-1)}$. B) A$_{n}$ = 625(1/5)$^{(n-1)}$. C) A$_{n}$ = 625(5)$^{(n-1)}$. D) A$_{n}$ = 125 + 5n. Show Answer Correct Answer: A) A$_{n}$ = (125)(1/5)$^{(n-1)}$. 24. Alex earns $ 20, 000 salary in the first year of his career. Each year, he gets a $ 1200 raise. How much does Alex earn in the first four years of his career? A) $ 69, 200. B) $ 24, 800. C) $ 87, 200. D) $ 23, 600. Show Answer Correct Answer: C) $ 87, 200. 25. -4, -12, -36, -108, ..... Find the ratio A) R=-2. B) R=3. C) R=-3. D) R=2. Show Answer Correct Answer: B) R=3. ← 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 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 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