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

If in an A.P., `S_n=n^2p` and `S_m=m^2p` , where `S_r` denotes the sum of `r` terms of the A.P., then `S_p` is equal to `1/2p^3` (b) `m n\ p` (c) `p^3` (d) `(m+n)p^2`

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RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. If the first, second and last term of an A.P. are a ,\ b and 2a res...

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

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  3. If in an A.P., Sn=n^2p and Sm=m^2p , where Sr denotes the sum of...

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  4. Let Sn denotes the sum of the first of n terms of A.P. and S(2n)=3Sn ...

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  5. in an AP , Sp=q , Sq=p and Sr denotes the sum of the first r terms. Th...

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  6. If Sr denotes the sum of the first r terms of an A.P. Then, S(3n...

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  7. If the first term of an A.P. is 2 and common difference is 4, then ...

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  8. The number of terms of the A.P. 3,\ 7,\ 11 ,\ 15 ,\ ddot to be take...

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  9. Sum of n terms of the series sqrt(2)+sqrt(8)+sqrt(18)+sqrt(32)+\ dd...

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  10. The 9t h term of an A.P. is 449 and 449th term is 9. The term which...

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  11. The n t h term of an A.P., the sum of whose n terms is Sn , is (a) S...

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  12. The common difference of an A.P., the sum of whose n terms is Sn , i...

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  13. If the sums of n terms of two arithmetic progressions are in the...

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  14. If Sn denote the sum of n terms of an A.P. with first term a and c...

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  15. If the first term of an A.P. is a and n t h term is b , then its c...

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  16. The sum of first n odd natural numbers is 2n-1 (b) 2n+1 (c) n^2 ...

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  17. Two A.P.’s have the same common difference. The first term of one o...

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  18. If 18 ,\ a ,\ b ,\ -3 are in A.P., the a+b= (a) 19 (b) 7 (c) 11 (d...

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  19. If (5+9+13+\ ddotto\ n\ t e r m s)/(7+9+11+\ ddotto\ (n+1)t e r m s)=(...

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  20. The sum of n terms of an A.P. is 3n^2+5n , then 164 is its (a) 2...

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