This quiz works best with JavaScript enabled. Home > Class 11 > 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 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. A theater has 60 seats in the first row, 68 seats in the second row, 76 seats in the third row, and so on in the same increasing pattern. What are the first term and the common difference? A) A$_{1}$=60, d=68. B) A$_{1}$=60, d=8. C) A$_{1}$=60, d=-8. D) A$_{1}$=8, d=60. Show Answer Correct Answer: B) A$_{1}$=60, d=8. 2. This classifies a polynomial with 2 terms ..... A) Monomial. B) Binomial. C) Trinomial. D) Gnomial. Show Answer Correct Answer: B) Binomial. 3. Find the common ratio:64, -16, 4, -1, ..... A) R =-8. B) R =-1/4. C) R =-4. D) R = 4. Show Answer Correct Answer: B) R =-1/4. 4. Is the sequence 2, 4, 12, 48, ..... geometric? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 5. The next two terms of the sequence 12, 17, 22 are A) 28 and 33. B) 29 and 34. C) 27 and 32. D) 30 and 35. Show Answer Correct Answer: C) 27 and 32. 6. What is the explicit formula for the sequence? 4, -20, 100, -500, ..... A) $a_n=4\left(2\right)^{n-1}$. B) $a_n=4\left(-5\right)^{n-1}$. C) $a_n=3\left(-5\right)^{n-1}$. D) $a_n=3\left(2\right)^{n-1}$. Show Answer Correct Answer: B) $a_n=4\left(-5\right)^{n-1}$. 7. Does this sequence converge or diverge? $\frac{1}{3}, 1, 3, 9, ..... $ A) Converges to 0. B) Converges to 1. C) Converges to 3. D) Diverges. Show Answer Correct Answer: D) Diverges. 8. There were originally 1400 alligators in the Florida Everglades. Since then, the population of alligators has increased by 5% each year. How long will it take for the population to be more than 2000? A) 15 years. B) 9 years. C) 7 years. D) 8 years. Show Answer Correct Answer: D) 8 years. 9. Choose the correct recursive formula for the following sequence:2, 8, 14, 20, ..... A) $a_1=2$ $a_n=a_{n-1}+6$. B) $a_1=2$ $a_n=6a_{n-1}$. C) $a_1=2$ $a_n=4a_{n-1}$. D) $a_1=2$ $a_n=a_{n-1}+4$. Show Answer Correct Answer: A) $a_1=2$ $a_n=a_{n-1}+6$. 10. Evaluate the geometric series described below. A) -585. B) 585. C) -21, 845. D) 21, 845. Show Answer Correct Answer: C) -21, 845. 11. Tyler has 15 fantasy football points at the beginning of Sunday's games. His players earn 18 points each per game. How many points will Tyler have after his players have played 5 games? A) 75. B) 90. C) 105. D) 93. Show Answer Correct Answer: C) 105. 12. What do you call the terms between any two given nonconsecutive terms of a geometric sequence? A) Arithmetic Mean. B) Fibonacci Mean. C) Geometric Mean. D) Harmonic Mean. Show Answer Correct Answer: C) Geometric Mean. 13. How do you proceed to the next term in this sequence 1, 3, 9, 27 A) Add 3 to the preceding term. B) Multiply the preceding term by 3. C) All the above. D) None of the above. Show Answer Correct Answer: B) Multiply the preceding term by 3. 14. Find a$_{18}$ for the following geometric sequence, -3, 6, -12, 24, , , A) -37. B) -786, 432. C) 393, 216. D) 258, 280, 326. Show Answer Correct Answer: C) 393, 216. 15. The sum of the terms in a sequence A) Sequence. B) Series. C) All the above. D) None of the above. Show Answer Correct Answer: B) Series. 16. In a grocery, the cans of milk are stacked in such a way that there is one can less in the upper row. How many cans of milk are there in a stack of 18 rows with 2 cans on the topmost row? A) 111 cans. B) 145 cans. C) 189 cans. D) 198 cans. Show Answer Correct Answer: C) 189 cans. 17. A culture initially contains 200 bacteria. If the number of bacteria doubles every 2 hours, how many bacteria will be in the culture at the end of 12 hours? A) 12400. B) 12500. C) 12600. D) 12700. Show Answer Correct Answer: C) 12600. 18. What is the common difference of the arithmetic sequence below?-6, -1, 4, 9 ..... A) 5. B) -5. C) -6. D) 1/5. Show Answer Correct Answer: A) 5. 19. Find the sum of the infinite geometric series.36-12 + 4-4/3 + ..... (This is infinite.) A) 0. B) 1/3. C) 27. D) 1, 000, 000, 000, 000, 000, 000, 000, 000. Show Answer Correct Answer: C) 27. 20. Find the sum of the first 6 terms of the geometric sequence 2, 8, 32, 128, ..... A) 3072. B) 7320. C) 2370. D) 2730. Show Answer Correct Answer: D) 2730. 21. Most automobiles depreciate as they get older. Suppose an automobile that originally costs $ 14, 000 depreciates by 20% of its value every year. What is the value of this automobile after 5 years? A) $ 264, 539.52. B) $ 4.48. C) $ 4, 587.52. D) $ 34, 836.48. Show Answer Correct Answer: C) $ 4, 587.52. 22. Consider the arithmetic sequence 1000, 993, 986, ..... Find the greatest sum of the first k terms, where k is a positive integer. A) 71 426. B) 71 829. C) 71 929. D) 72 432. Show Answer Correct Answer: C) 71 929. 23. A geometric sequence has a common ration(r) of 3 and the 8th term (a$_{8}$) is 13, 122. What is the first term of the sequence (a$_{1}$)? A) 3. B) 6. C) 18. D) 2. Show Answer Correct Answer: B) 6. 24. The sequence $\left(a_n\right)$ $a_1=\sqrt{k}$ $a_{n+1}=\sqrt{k+a_n}$ A) Convergent sequence. B) Divergent sequence. C) Oscillating sequence. D) None of the above. Show Answer Correct Answer: A) Convergent sequence. 25. Determine the sum of the first 10 terms in the arithmetic series:5 + 8 + 11 + ..... . A) 32. B) 185. C) 98415. D) 205. Show Answer Correct Answer: B) 185. ← 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