Class 11 Mathematics Chapter 9 Sequences And Series Quiz 41 (25 MCQs)

Quiz Instructions

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1. Find the nth partial sum of the geometric series with a1 = 5, r = 3, n = 4.
2. Find the sum:1 + 4 + 7 + ..... + 142
3. Which sequence is arithmetic?
4. Find the Future value of an investment of $ 8 500 at an interest rate of 4.5% compounded annually, after 10 years.
5. Given:14, 17, 31, ..... What is the next term of the sequence?
6. The second term of the arithmetic sequence is 5 and the fifth term is 14.The 20th term of the arithmetic sequence is .....
7. Find the sum of the arithmetic progressions 7, 9, 11, ..... , 79. (Hint:find Tn first)
8. Find the sum of all multiples of 3 between 100 and 400.
9. What is the next term in the geometric sequence 4, -16, 64, ..... ?
10. What is the fourth term of the sequence defined by a$_{1}$ = 3, a$_{n}$ = a$_{n-1}$-7
11. Find the first four terms of the sequence given the rule:g$_{n}$ = 4(5)$^{n-1}$
12. Write a recursive formula for the following sequence:10, 5, 0, -5, .....
13. Find the sum of the infinite geometric series:1 + 1/5 + 1/25 + .....
14. The sum of the first 6 terms of an arithmetic sequence is-42. If the 17th term of the sequence is-88, then the common difference of the sequence is
15. A polynomial consisting of 1 term is known as a .....
16. Find a$_{20}$ in the arithmetic sequence:5, 12, 19, 26 .....
17. What type of sequence is this:1, 5, 25, 125, 625, 3125, .....
18. What is the common difference of this arithmetic sequence? 1, 4, 7, 10, .....
19. What is the explicit formula for an arithmetic sequence?
20. Find the 4th term for the sequence defined by a$_{1}$=9; a$_{n}$=a$_{n-1}$+8
21. Ms Preston works in a gym. At the start of her shift there were 20 people in the gym. Every hour five more people came into the gym. If Ms Preston worked for 4 hours how many people were in the gym at the end of her shift?
22. Find the next two numbers in the sequence below:4, 7, 10, 13, ..... , .....
23. What is the fifth term of the geometric sequence?5, 15, 45, .....
24. A display of cans on a grocery shelf consists of 20 cans on the bottom, 18 cans in the next row, 16 cans in the next row and so on in an arithmetic sequence, until the top row has 4 cans.How many rows are there on the display?
25. Insert three arithmetic means between 23 and 7.