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If in an A.P, Sn=n^2p and Sm=m^2p, then ...

If in an A.P, `S_n=n^2p` and `S_m=m^2p`, then prove that `S_p` is equal to `p^3`

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RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. Sum of all two digit numbers which when divided by 4 yield unity as re...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. 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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  17. If in an A.P., the pth term is q\ a n d\ (p+q)^(t h) term is zero then...

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  18. The 10th common term between the A.P.s 3,7,11,15, and 1,6,11,16,.. i...

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  19. If in an A.P. Sn=n^2q\ a n d\ Sm=m^2q ,\ w h e r e\ Sr denotes the sum...

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  20. Let Sn denote the sum of the first n tem of an A.P. If S(2n)=3Sn th...

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