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In a sequence of (4n+1) terms, the first...

In a sequence of `(4n+1)` terms, the first `(2n+1)` terms are n A.P. whose common difference is 2, and the last `(2n+1)` terms are in G.P. whose common ratio is 0.5 if the middle terms of the A.P. and LG.P. are equal ,then the middle terms of the sequence is `(n .2 n+1)/(2^(2n)-1)` b. `(n .2 n+1)/(2^n-1)` c. `n .2^n` d. none of these

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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
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  2. If S1,S2 and S3 be respectively the sum of n, 2n and 3n terms of a G.P...

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

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

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

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

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

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  19. How many geometric progressions are possible containing 27, 8 and 12 a...

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