This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 9 Sequences And Series – Quiz 11 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 9 Sequences And Series Quiz 11 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the difference between an arithmetic sequence and a geometric sequence? A) One is the sum of the numbers and one is just a list of numbers. B) One has a common difference and one has a common ratio. C) One you can write an nth term and one you cannot. D) None of these are correct. Show Answer Correct Answer: B) One has a common difference and one has a common ratio. 2. What kind of sequence is it? A) Cube number sequence. B) Multiple of three sequence. C) Arithmetic Sequence. D) Geometric Sequence. E) Indices Sequence. Show Answer Correct Answer: D) Geometric Sequence. 3. Which is the Fibonacci sequence? A) 1, 1/3, 1/9, 1/27, 1/81, . B) 1, 1, 2, 3, 5, 8, 13, . C) 2, -2, 2, -2, 2, -2, . D) 0, 1, 3, 7, 15, 33, . Show Answer Correct Answer: B) 1, 1, 2, 3, 5, 8, 13, . 4. Given an arithmetic sequence where a$_{32}$ = $_{}$109 and a$_{46}$ = 193, find a$_{311}$. A) 295. B) -77. C) 1860. D) 1783. Show Answer Correct Answer: D) 1783. 5. The number of mosquitoes at the beginning of the summer was 4, 000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months? Round your answer A) 9766. B) 9006. C) 9765. D) 5433. Show Answer Correct Answer: A) 9766. 6. The sixth term of a geometric sequence is 1215 and the third term is 45. Find the first term. A) 5. B) 6. C) 7. D) 8. Show Answer Correct Answer: A) 5. 7. Bricks are stacked in a pile with 24 bricks on the bottom row and 15 on the top row with each row having one more brick than the one above it. How many rows are there in all? A) 7. B) 8. C) 9. D) 10. Show Answer Correct Answer: D) 10. 8. Which pattern has a common difference of 4? A) 1, 4, 7, 10, 13. B) 1, 4, 16, 64, 256. C) 1, 5, 10, 16, 23. D) 1, 5, 9, 13, 17. Show Answer Correct Answer: D) 1, 5, 9, 13, 17. 9. Write the simplified explicit formula for the arithmetic sequence:\{2, 8, 14, ..... \} A) A$_{n}$=2+6n. B) A$_{n}$=-6+6n. C) A$_{n}$=6n-4. D) A$_{n}$=4-6n. Show Answer Correct Answer: C) A$_{n}$=6n-4. 10. Determine the 7th term of the geometric sequence:2, 6, 18, 54, ..... A) 1358. B) 1324. C) 1408. D) 1458. Show Answer Correct Answer: D) 1458. 11. When the 2nd differences are constant, the relationship is ..... A) Linear. B) Quadratic. C) Exponential. D) Linaer. Show Answer Correct Answer: B) Quadratic. 12. Your tractor costs $ 40, 000 and depreciates at 8% per year. What is it worth after 4 years? A) $ 54420. B) $ 25600. C) $ 27200. D) $ 28656. E) $ 11344. Show Answer Correct Answer: D) $ 28656. 13. Given that the sum of the first n terms of a sequence is, find the 20th term of the sequence. A) 580. B) 610. C) 5900. D) 6510. Show Answer Correct Answer: A) 580. 14. The formula for a sequence that uses operations on a previous term to find the next term is called a/an: A) Explicit Formula. B) Recursive Formula. C) Arithmetic Formula. D) Geometric Formula. Show Answer Correct Answer: B) Recursive Formula. 15. Which recursive formula best describes the following sequence:\{3, 8, 13, 18, 23 ..... \} A) A$_{n}$ = (3)$^{n-1}$ ; a$_{1 }$=5. B) A$_{n}$ = (5)$^{n-1}$ ; a$_{1 }$=3. C) A$_{n}$ = a$_{n-1}$+3 ; a$_{1 }$=5. D) A$_{n}$ = a$_{n-1}$+5 ; a$_{1 }$=3. Show Answer Correct Answer: D) A$_{n}$ = a$_{n-1}$+5 ; a$_{1 }$=3. 16. Which lists four consecutive terms of an arithmetic sequence? A) 1, 4, 9, 16, . B) 3, 10, 17, 24, . C) 1, 2, 4, 8, . D) -5, 6, 10, 13, . Show Answer Correct Answer: B) 3, 10, 17, 24, . 17. 25, 8.33 A) Geometric sequence with a common ratio of 1/3. B) Geometric sequence with a common ratio of 3. C) Arithmetic sequence with a common difference of 58. D) Common difference of 3. Show Answer Correct Answer: A) Geometric sequence with a common ratio of 1/3. 18. Write the nth term formula:3.5 + 7 + 14 + 28 + 56 A) A$_{n}$ = 3.5(0.5)$^{n-1}$. B) A$_{n}$ = 3.5 + 2(n-1). C) A$_{n}$ = 3.5 + 3.5(n-1). D) A$_{n}$ = 3.5(2)$^{n-1}$. Show Answer Correct Answer: D) A$_{n}$ = 3.5(2)$^{n-1}$. 19. What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47 + ..... ? A) 1, 600. B) 18, 235. C) 18, 475. D) 19, 125. Show Answer Correct Answer: C) 18, 475. 20. The recursive formula can only be used if you know the previous term. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 21. If two geometric means are inserted between $3a^2$ $24a^8$ A) $6a^4$. B) $6a^6$. C) $12a^6$. D) $12a^4$. Show Answer Correct Answer: C) $12a^6$. 22. What kind of sequence is this:17, 9, 1, -7, ..... A) Arithmetic. B) Geometric. C) Other. D) None of the above. Show Answer Correct Answer: A) Arithmetic. 23. The sum of the 3rd term and the 4th term of a geometric sequence with positive terms is 576 while the sum of the 5th term and the 6th term of the sequence is 8. The common ratio of the sequence is A) $\frac{1}{72}$. B) $\frac{1}{12}$. C) $\frac{\sqrt{2}}{12}$. D) $\frac{\sqrt{2}}{2}$. Show Answer Correct Answer: C) $\frac{\sqrt{2}}{12}$. 24. In mathematics, we think of a/an ..... as a list of numbers or terms. A) Series. B) Sum. C) Sequence. D) Solution. Show Answer Correct Answer: C) Sequence. 25. A bacteria model shows the number of bacterial cells over time. The first hour there is 1 bacteria cell. The second hour there are 2 bacteria cells. The third hour there are 4 bacteria cells. The fourth hour there are 8 bacteria cells. How many bacteria cells will there be in 24 hours? A) 4, 194, 304. B) 16, 777, 216. C) 6, 223, 980. D) 8, 388, 608. Show Answer Correct Answer: D) 8, 388, 608. ← 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