# JEE-Mains 2015 (8/30)

Algebra Level 4

If $$m$$ is the arithmetic mean 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 :

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