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If the sum of p terms of an A.P. is q an...

If the sum of p terms of an A.P. is q and the sum of q terms is p, then the sum of `p+q` terms will be

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If the sum of p terms of an A.P. is q and the sum of q terms is p, show that the sum of (p+q) terms is -(p+q).

If the sum of p terms of an AP is q and the sum of q terms is p, then show that the sum of p+q terms is - (p+q) , Also find the sum of first p-q terms (where , pgtq ).

If the sum of 8 terms of an A.P. is 64 and the sum of 19 terms is 361, find the sum of n terms.

If the sum of 7 terms of an A.P. is 49 and that of 17 terms is 289, find the sum of n terms.

If the sum of m terms of an A.P. is same as the sum of its n terms, then the sum of its (m+n) terms is

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The sum of first p- terms terms of an A.P. is q and the sum of first q terms is p, find the sum of first (p + q)

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RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. If the sums of n terms of two A.P.s are in ratio (3n+2):(2n+3) , find ...

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  2. If 7th and 13th terms of an A.P. be 34 and 64 respectively, then its...

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  3. If the sum of p terms of an A.P. is q and the sum of q terms is p, the...

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  4. If the sum of n terms of an A.P. be 3n^2-n and its common difference i...

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  5. Sum of all two digit numbers which when divided by 4 yield unity as re...

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  6. There are n A.M.s between 3 and 17. The ratio of the last mean to the ...

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  7. If Sn denotes the sum of first n terms of an A.P. <an> such that (Sm)/...

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  8. The first and last terms of an A.P. are 1 and 11. If the sum of its ...

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  9. If the sum of n terms of an A.P., is 3n^2+5n then which of its terms i...

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  10. If the sum of n terms of an A.P. is 2n^2+5n ,\ then its nth term is ...

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  11. If a1,a2,a3,--- ,an are in A.P with common difference d (where d!=0)...

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  12. If the arithmetic progression whose common difference is nonzero the ...

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  13. Find the four numbers in A.P., whose sum is 50 and in which the greate...

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  14. If n arithmetic means are inserted between 1 and 31 such that the rati...

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  15. Let Sn denote the sum of n terms of an AP whose first term is a. If co...

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  16. The first and last term of an A.P. are a and l respectively. If S is...

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  17. If the sum of first n even natural numbers is equal to k times the sum...

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  18. If the first second and last term of an A.P. are a ,\ b ,\ a n d\ 2a\ ...

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  19. If S1 is the sum of an AP of 'n' odd number of terms and S2 be the sum...

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  20. If in an A.P, Sn=n^2p and Sm=m^2p, then prove that Sp is equal to p^3

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