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Class 11 Mathematics: Sequences and Series
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MCQs on sequences, series, arithmetic and geometric progressions, sum to n terms special series, relationship between am and gm.

Class 11 Mathematics: Sequences and Series
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25 Questions

1. In a G.P., 5th term is 27 and 8th term is 729. Find its 11th term.
2. Which of the following is true if A means arithmetic mean and b means geometric mean of two numbers?
3. In G.P. 4, 8, 16, 32, ………… find the sum up to 5th term.
4. Which of the following is not a series?
5. Find the sum to n terms of the series whose nth term is n (n-2).
6. Find the sum of series 62+72+…………………..+152.
7. A sequence is called ___________________ if an+1 = an + d.
8. Which of the following relation gives Fibonacci sequence?
9. If a=3 and r=2 then find the sum up 5th term.
10. Find the sum of series 12+32+52+…………………………..+112.
11. If r=1 in a G.P. then what is the sum to n terms?
12. If A.M. of two numbers is 15/2 and their G.M. is 6, then find the two numbers.
13. Which of the following is finite sequence?
14. The sum of n terms of two arithmetic progressions are in the ratio (2n + 3):(7n + 5). Find the ratio of their 9th terms.
15. Insert 4 numbers between 2 and 22 such that the resulting sequence is an A.P.
16. A series can also be denoted by symbol ____________
17. Find the sum up to 7th term of series 2+3+5+8+12+………………….
18. Find the sum of first n terms.
19. If sum of n terms of an A.P. is n2+5n then find general term.
20. The ratio of the A.M. and G.M. of two positive numbers a and b is 5: 3. Find the ratio of a to b.
21. What is nth term of an A.P.?
22. If first term of a G.P. is 20 and common ratio is 4. Find the 5th term.
23. If in an A.P., first term is 20 and 12th term is 120. Find the sum up to 12th term.
24. If a sequence is in the form 2*5n then which of the following may be the sequence?
25. Find the sum to 6 terms of each of the series 2*3+4*6+6*11+8*18+………………..

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