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If 9^(th) term of an A.P is zero, prove ...

If `9^(th)` term of an A.P is zero, prove that its `29^(th)` term is double the `19^(th)` term.

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If the 9th term of an AP is zero, then the ratio of 29th term to 19th term is

If m times the m^(th) term of an A.P is equal to n times its n^(th) term, show that the (m + n)^(th) term of the AP is zero.

The difference between the 15^(th) term and the 5^(th) term of an A.P is 40. Which number is to be added to its 12^(th) term to get the 20^(th) term? Find the difference between its first term and 21^(st) term?

If 10 times the 10^(th) term of the A.P is equal to 15 times 15^(th) term, show that the 25th term is 0

Find the 20^(th) term of an arithmetic sequence if its 6^(th) term is 14 and 14^(th) term is 6.

The 10^th term of an AP is 73 and the 20^th term is 43. Find the 44^th term.

The 7^th term of an AP is 34 and the 15^th term is 74. Find the 40^th term.

If the m^th terms of an AP is 1/n and the n^th term is 1/m , prove that the sum of the first mn terms is 1/2(mn+1)

In an A.P. if m^ (th) term is n and the n^(th) term is m , where m ne n , find the. p^ (th) term.

The 5^(th) term of an arithmetic sequence is 38 and the 9^(th) term is 66. What is its 25^(th) term?

A N EXCEL PUBLICATION-SEQUENCES AND SERIES-QUESTION BANK
  1. Which term of the sequence 72,70, 68,66,….is 40?

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  2. The 6^(th) and 17^(th) terms of an A.P are 19 and 41 respectively, fin...

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  3. If 9^(th) term of an A.P is zero, prove that its 29^(th) term is doubl...

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  4. If m times the m^(th) term of an A.P is equal to n times its n^(th) te...

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  5. If the sum of p terms of an AP is the same as the sum of its q terms, ...

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  6. How many terms of the sequence 54,51,48, ...be taken so that their sum...

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  7. Find the sum of all integers between 50 and 500 which are divisible by...

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  8. The sum of three numbers in A.P. is -3,'and their product is 8. Find t...

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  9. If a, b, c are in A.P, prove that 1/(bc),1/(ca),1/(ab) are also in A.P...

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  10. If (b+c-a)/a,(c+a-b)/b,(a+b-c)/c are in A.P, prove that 1/a,1/b,1/care...

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  11. Find the sum of odd integers from 1 to 2001

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  12. Find the sum of all natural numbers between 100 and 1000 which are mul...

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  13. In an A.P, the first term is 2 and the sum of the first five terms is ...

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  14. How many terms of the A.P,-6 ,-11/2,-5,...are needed to give the sum -...

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  15. If the m^th terms of an AP is 1/n and the n^th term is 1/m, prove that...

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  16. If the sum of certain number of terms of the AP 25,22,19,........is 11...

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  17. Find the sum of n terms of the AP, whose K^th term is ak=5K+1.

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  18. If the sum of n terms of an A.P. is pn+qn^2, where p and q are constan...

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  19. The sums of n terms of two A.P.s are in the ratio (5n + 4): (9n + 6). ...

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  20. If the sum of p terms of an AP is the same as the sum of its q terms, ...

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