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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 PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. Find the sum of odd intergers from 1 to 201.

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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. There are 4n + 1 terms in a sequence of which first 2n + 1 are in Arit...

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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. Evaluate, sum(i = 0)^iinfty sum(j = 0)^infty sum(k = 0)^infty 1/(3^i c...

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  10. The first trem of a GP is -3 and the square of the second term is equa...

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  11. If log(2)(5.2^(x)+1),log(4)(2^(1-x)+1) and 1 are in A.P,then x equals

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  12. Find the geometric series whose 5th and 8th terms are 80 and 640 respe...

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  13. 0ltthetaltpi/2, if x=sum(n=0)^inftycos^(2n)theta,y=sum(n=0)^inftysin^(...

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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 5th, 8th and 11th terms of a GP are a,b,c respectively. Show that...

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

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

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  19. Find the centre and radius of the circle: (x+5)^2+(y-3)^2=20

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

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