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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 `S_p` is equal to

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

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

If in an A.P. S_n=n^2q\ a n d\ S_m=m^2q ,\ w h e r e\ S_r denotes the sum of r terms of the A.P., then S_q equals a. (q^3)/2 b. m n q c. q^3 d. (m^2+n^2)q

Let S_(n) denote the sum of the first n terms of an A.P.. If S_(4)=16 and S_(6)=-48 , then S_(10) is equal to :

If in an AP, S_(n)= qn^(2) and S_(m) =qm^(2) , where S_(r) denotes the of r terms of the AP , then S_(q) equals to

Let S_n denotes the sum of the first of n terms of A.P. and S_(2n)=3S_n . then the ratio S_(3n):S_n is equal to

If S_n , the sum of first n terms of an A.P., is given by S_n=5n^2+3n , then find its n^(t h) term.

Given unit vectors m, n and p such that angle between m and n. Angle between p and (mtimesn)=(pi)/(6) , then [n p m] is equal to

If a ,b ,a n dc are in A.P. p ,q ,a n dr are in H.P., and a p ,b q ,a n dc r are in G.P., then p/r+r/p is equal to a/c+c/a

If S_(n) denote the sum to n terms of an A.P. whose first term is a and common differnece is d , then S_(n) - 2S_(n-1) + S_(n-2) is equal to

RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. The first term of an A.P.is 2 and the last term is 50. the sum of all ...

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  2. The number of terms of an A.P. is even, the sum of odd terms is 24, of...

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

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  4. If 12th term of an A.P. is -13 and the sum of the first four terms i...

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  5. If the 5th and 12th terms of an A.P. are 30 and 65 respectively, wha...

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  6. Find the sum of n terms of an A.P. whose kth terms is 5k+1.

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

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  8. If the sum of a certain number of terms of the AP 25,22,19... is 116. ...

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  9. How many terms of the A.P. -6, -(11)/2,\ -5,... are needed to give the...

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

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  11. If Sn=n P+(n(n-1))/2Q ,w h e r eSn denotes the sum of the first n term...

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  12. The sum of n terms of two arithmetic progressions are in the ratio 5n+...

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  13. If 2/3, k ,5/8 are in A.P., find the value of kdot

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  14. If 1/a ,1/b ,1/c are in A.P. prove that: (b+c)/a ,(c+a)/b ,(a+b)/c are...

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  15. If a, b, c are in A.P., prove that a^(2)(b+c),b^(2)(c+a),c^(2)(a+b)" a...

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  16. If a, b, c are in A.P, then show that: b+c-a ,\ c+a-b ,\ a+b-c are in ...

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  17. If a, b, c are in A.P, then show that: \ b c-a^2,\ c a-b^2,\ a b-c^2 a...

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  18. If (b+c)/a,(c+a)/b,(a+b)/c are in A.P. show that 1/a,1/b1/c are als...

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  19. If (b+c)/a ,(c+a)/b ,(a+b)/c are in A.P., prove that : b c ,\ c a ,\ a...

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  20. If a\ (1/b+1/c),\ b(1/c+1/a),\ c(1/a+1/b) are in A.P. prove that a ,\ ...

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