This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 31 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 31 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the explicit formula for the sequence? 192, 48, 12, 3, ..... A) $a_n=3\left(\frac{1}{4}\right)^{n-1}$. B) $a_n=3\left(4\right)^{n-1}$. C) $a_n=192\left(\frac{1}{4}\right)^{n-1}$. D) $a_n=192\left(4\right)^{n-1}$. Show Answer Correct Answer: C) $a_n=192\left(\frac{1}{4}\right)^{n-1}$. 2. Find the sum of the first 8 terms of geometric progressions 3, 6, 12, 24, ..... A) 765. B) -765. C) 756. D) -756. Show Answer Correct Answer: A) 765. 3. Evaluate the sum:$\\\sum_{k=25}^{100}2k$ A) 4750. B) 9500. C) 5050. D) 300. Show Answer Correct Answer: B) 9500. 4. Find the first four terms of the sequence given the rule:a$_{n}$ = 4(5)$^{n-1}$ A) 20, 100, 500, 2500. B) 5, 20, 80, 320. C) 4, 20, 100, 500. D) 4, 9, 14, 19. Show Answer Correct Answer: C) 4, 20, 100, 500. 5. Does this recursive routine model growth or decay, and by what percent?U$_{1}$ = 10U$_{n+1}$ = $_{}$U$_{n}$*.75 A) Growth, 75%. B) Growth, 25%. C) Decay, 75%. D) Decay, 25%. Show Answer Correct Answer: D) Decay, 25%. 6. Let a$_{n}$ be the nth term of a geometric sequence. It is given that a$_{4}$ = 135 and a$_{7}$ = 3645. The sum of the first 10 terms of the sequence is A) 98 415. B) 295 245. C) 147 620. D) 295 240. Show Answer Correct Answer: C) 147 620. 7. Find the common ratio given:a$_{1}$ = 4 and a$_{4}$ = 256 A) 84. B) 64. C) 4. D) 8. Show Answer Correct Answer: C) 4. 8. Which formula would find the SUM of the first ten terms of the following sequence?3, 5, $\frac{25}{3}$ A) $S_n=\frac{3-3\left(5\right)^{10}}{1-5}$. B) $S_n=\frac{3-3\left(\frac{5}{3}\right)^{10}}{1-\frac{5}{3}}$. C) $a_n=3\left(\frac{5}{3}\right)^{10-1}$. D) $a_n=3\left(5\right)^{10-1}$. Show Answer Correct Answer: B) $S_n=\frac{3-3\left(\frac{5}{3}\right)^{10}}{1-\frac{5}{3}}$. 9. $\sum_{k=0}^{\infty}\left(\frac{3}{5}\right)^k$ A) Converges. B) Diverges. C) All the above. D) None of the above. Show Answer Correct Answer: A) Converges. 10. Use the first three terms of the exponential series and a calculator to approximate the value of e$^{1.85}$ to the nearest hundredth. A) 2.85. B) 4.56. C) 6.36. D) 5.62. Show Answer Correct Answer: B) 4.56. 11. Daniel's Print Shop purchased a new printer for $ 35, 000. Each year it depreciates at a rate of 5%. How much more will the printer be worth in year 3 than year 5 (**Hint:use subtraction!) A) $ 30, 008.13. B) $ 27, 082.33. C) $ 2, 925.80. D) $ 57, 090.46. Show Answer Correct Answer: C) $ 2, 925.80. 12. Given the formula for a geometric sequence find the common ratio. $a_n=-4\left(-2\right)^{n-1}$ A) -4. B) 4. C) 8. D) -2. Show Answer Correct Answer: D) -2. 13. In which sequence are the second and third terms determined by finding the square root of the previous term? A) 64, 8, 2. B) 8, 6, 4. C) 16, 8, 4. D) 16, 4, 2. Show Answer Correct Answer: D) 16, 4, 2. 14. Write the recursive rule for the arithmetic sequence-49, -35, -21, -7, ..... A) A$_{1}$=-49; a$_{n}$ = a$_{n-1}$ + 10. B) A$_{1}$=-7; a$_{n}$ = a$_{n-1}$ + 14. C) A$_{1}$=-49; a$_{n}$ = a$_{n-1}$ + 14. D) A$_{1}$=-49; a$_{n}$ = a$_{n-1}$-14. Show Answer Correct Answer: C) A$_{1}$=-49; a$_{n}$ = a$_{n-1}$ + 14. 15. If the sum of n terms of an AP is given by $S_n=2n^2+3n$ A) 3. B) 4. C) 5. D) 6. Show Answer Correct Answer: B) 4. 16. The sum of some terms of a G.P is 315 whose first term and the common ratio are 5 and 2, respectively. The number of terms are A) 3. B) 4. C) 5. D) 6. Show Answer Correct Answer: D) 6. 17. $t_1=7, \\r=3, \\t_7=?$ A) 5031. B) 1053. C) 3015. D) 5103. Show Answer Correct Answer: D) 5103. 18. What is the 18th term of the sequence-22, -21.2, -20.4, -19.6, -18.8, ..... ? A) -6.8. B) 0.8. C) -8.4. D) -35.6. Show Answer Correct Answer: C) -8.4. 19. What are the next 2 terms in the following pattern100, 77, 54, 31 ..... A) 18, -3. B) 8, -13. C) 15, -7. D) 5, -18. Show Answer Correct Answer: B) 8, -13. 20. What is the 76$^{th}$ term of the following arithmetic sequence? A) 76. B) 452. C) 458. D) 476. Show Answer Correct Answer: C) 458. 21. Which formula is used to find the recursive 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: B) A$_{n}$ = a$_{n-1}$ * r. 22. Find a formula for a$_{n}$ for the arithmetic sequence. a$_{1}$ =-1, d =-7 A) A$_{n}$ =-1-8n. B) A$_{n}$ =-7-(n-1). C) A$_{n}$ = 6-7n. D) A$_{n}$ =-1(-7)$^{n-1}$. Show Answer Correct Answer: C) A$_{n}$ = 6-7n. 23. Find the sum:2 + 6 + 18 + 54 + ..... for the first 14 terms A) 4, 782, 968. B) 2, 391, 484. C) 1, 594, 323. D) None of the above. Show Answer Correct Answer: A) 4, 782, 968. 24. What is a$_{1}$ in the following sequence?-6, -14, -22, -30, ..... A) -6. B) -14. C) -22. D) -30. Show Answer Correct Answer: A) -6. 25. Find the third partial sum:$\sum_{n=1}^{\infty}4\left(-\frac{1}{2}\right)^n$ A) 3/2. B) -2. C) 1/2. D) -3/2. Show Answer Correct Answer: D) -3/2. ← 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 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 10 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books