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If m is the A.M of two distict real numb...

If m is the A.M of two distict real numbers l and n `(l, n gt 1)`and `G_1,G_2 and G_3` are three geomatric means between l and n, then `(G_1)^4+2(G_2)^4+(G_3)^4` equals

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`m= (l+n)/2`
`=> 2m = l+ n`
`G_1 , G_2 , G_3`
`l, G_1, G_2 , G_3 , n`are in GP
let d be the common ration
`G_1 = ld`
`G_2 = ld^2`
`G_3 = ld^3`
...
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