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Let A1 , G1, H1denote the arithmetic, g...

Let `A_1 , G_1, H_1`denote the arithmetic, geometric and harmonic means respectively, of two distinct positive numbers. For `n >2,`let `A_(n-1),G_(n-1)` and `H_(n-1)` has arithmetic, geometric and harmonic means as `A_n, G_N, H_N,` respectively.

A

`A_(1) gt A_(2) gt A_(3) gt` …………….

B

`A_(1) lt A_(2) lt A_(3) lt`

C

`A_(1) gt A_(3) gt A_(5) gt` ………… and `A_(2)lt A_(4)lt A_(6) lt`……………….

D

`A_(1) lt A_(3)lt A_(5) lt …………..and A_(2) gt A_(4) gt A_(6) gt`………………

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The correct Answer is:
A
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