JEE Math Practice Question
If m is the A.M. of two distinct real numbers l and n $$(l,n > 1)$$ and $${G_1},{G_2}$$ and $${G_3}$$ are three geometric means between $$l$$ and n, then $$G_1^4\, + 2G_2^4\, + G_3^4$$ equals:
- A.$$4\,lm{n^2}$$
- B.$$4\,{l^2}{m^2}{n^2}$$
- C.$$4\,{l^2}m\,n$$
- D.$$4\,l\,{m^2}n$$
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