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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

`H_1gtH_2gtH_3gt......`

B

`H_1gtH_3gtH_5gt......`and `H_2ltH_4ltH_6lt......`

C

`H_1ltH_2ltH_3lt......`

D

`H_1ltH_3ltH_5lt......` ans `H_2gtH_4gtH_6gt......`

Text Solution

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The correct Answer is:
C
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