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If Sn=n P+(n(n-1))/2Q ,w h e r eSn denot...

If `S_n=n P+(n(n-1))/2Q ,w h e r eS_n` denotes the sum of the first `n` terms of an A.P., then find the common difference.

A

p+q

B

2p+3q

C

2q

D

q

Text Solution

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The correct Answer is:
D
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MARVEL PUBLICATION-SEQUENCES AND SERIES -MULTIPLE CHOICE QUESTIONS
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  2. The sum of the series a-(a+d)+(a+2d)-(a+3d)+ up to (2n+1) terms is -n ...

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  3. 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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  4. Four different integers form an increasing A.P .One of these numbers i...

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  5. If in an A.P. {t(n)}, it is given that t(p)=q and t(q)=p then : t(p+q)...

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  6. If in an A.P. {t(n)}, it is given that p.t(p)=q.t(q) then : t(p+q)= cd...

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  7. If a ,1/b ,a n d1/p ,q ,1/r from two arithmetic progressions of the co...

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  8. If S(n) is the sum of the first n terms of an A.P. then : (a) S(3n)=3(...

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  9. If in an A.P., S(2n)=3.S(n) then S(3n) : S (n)= (a)5 (b) 6 (c)7 (d)8

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  10. If S(n) denotes the sum of first n terms of an A.P., then (S(3n)-S(n...

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  11. If in an A.P. {a(n)}, a(1)+a(5)+a(10)+a(15)+(20)+a(24)=225 then : S...

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  12. IF in an A.P. {a(n)} a(1)+a(4)+a(7)+cdots+a(16)=147, then : a(1)+a(6)...

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  13. let a1,a2,a3,...........,be an AP such that (a1+a2+a3+...........+ap)/...

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  14. If a(1),a(2),a(3),"….",a(n) are in AP, where a(i)gt0 for all I, the va...

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  15. If a1,a2,a3, ,an are an A.P. of non-zero terms, prove that 1/(a1+a2...

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  16. If a,b,c are in both : A.P. and G.P. then (A)a=b!=c (B)a!=b=c (C) a!=b...

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  17. If x,y,z are in A.P. then : e^(-x), e^(-y),e^(-z) are in (a) A.P (b) G...

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  18. If x,y,z are in A.P. then : yz,zx,xy are in

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  19. If in a G.P., {a(n)} it given that (a) 120 (b)124 (c) 128 (d) 132

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  20. Every term of a G.P. is positive and also every term is the sum of pre...

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