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Three numbers form an increasing G.P. If...

Three numbers form an increasing G.P. If the middle number is doubled, then the new numbers are in A.P. The common ratio of the G.P. is (A) `2-sqrt(3)` (B) `2+sqrt(3)` (C) `sqrt(3)-2` (D) `3+sqrt(2)`

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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. Let n in N ,n > 25. Let A ,G ,H deonote te arithmetic mean, geometric...

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  2. If a1, a2, a3(a1>0) are three successive terms of a G.P. with common r...

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  3. Three numbers form an increasing G.P. If the middle number is doubled,...

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  4. If S1,S2, S3, Sm are the sums of n terms of m A.P. ' s whose first ter...

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  5. If S1,S2 and S3 be respectively the sum of n, 2n and 3n terms of a G.P...

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  6. In a sequence of (4n+1) terms, the first (2n+1) terms are n A.P. whose...

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  7. If (p+q)t h term of a G.P. is a and its (p-q)t h term is b where a ,b ...

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  8. Find the sum of n terms of the series whose nth term is T(n)=tanx/(2^n...

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  9. The value of sum(i=0)^oosum(j=0)^oosum(k=0)^oo1/(3^i3^j3^k) is

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  10. Let a1,a2,.........an be real numbers such that sqrt(a1)+sqrt(a2-1)+...

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  11. If log(2)(5xx2^(x)+1),log(4)(2^(1-x)+1) and 1 are in A.P., then x equa...

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  12. Let S(k), where k = 1,2,....,100, denotes the sum of the infinite geom...

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  13. If x=sum(n=0)^oocos^(2n)theta,y=sum(n=0)^oosin^(2n)varphi,z=sum(n=0)^o...

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  14. The real numbers x1, x2, x3 satisfying the equation x^3-x^2+b x+gamma=...

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  15. Let a, b, c, d be real numbers in G.P. If u, v, w satisfy the system...

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  16. The sum of the first three terms of a strictly increasing G.P. is alph...

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  17. If (log)3 2,(log)3(2^x-5) and (log)3(2^x-7/2) are in arithmetic progre...

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  18. If p is the first of the n arithmetic means between two numbers and q ...

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  19. If S1, S2 ,S3,.........Sn,........ are the sums of infinite geometri...

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  20. The interior angles of a polygon are in arithmetic progression. The sm...

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