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If a1 , a2 , a3, …."" an are in A.P. whe...

If `a_1 , a_2 , a_3, …."" a_n` are in A.P. where `a_i gt 0` for all `i` , then the value of
`(1)/(sqrt(a_1) + sqrt(a_2)) + (1)/(sqrt(a_2) + sqrt(a_3)) + … + (1)/(sqrt(a_(n-1)) + sqrt(a_n))` :

A

`(n-1)/(sqrta_1+sqrta_2)`

B

`(n+1)/(sqrta_1+sqrta_2)`

C

`n/(sqrta_1-sqrta_2)`

D

none

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The correct Answer is:
A
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QUANTUM CAT-SEQUENCE, SERIES & PROGRESSIONS-QUESTION BANK
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  2. Sum of n terms of the series loga + log((a^2)/(b)) + log((a^3)/(b^2...

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  14. Let A1 , G1, H1denote the arithmetic, geometric and harmonic means re...

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  15. Let a1, a2, a3, ,a(100) be an arithmetic progression with a1=3a n dsp...

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  16. The harmonic mean of the roots of the equation (5+sqrt(2))x^2-(4+sqrt(...

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  17. Let a1,a2 ,…. , a10 be in A.P. and h1,h2 …. h10 be in H.P. If a1=h1...

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  18. For a positive integer n , let a(n) = 1+ 1/2 + 1/3 +…+ 1/(2^(n)-1) ...

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  19. What is the sum of the series 1+(1)/(2)+(1)/(4)+(1)/(8)+. . .?

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  20. If apq=9b and a, b, p, q are positive real numbers, find the minimum v...

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