MathematicsMedium178×since 2002Q5173If m is the A.M. of two distinct real numbers l and n (l,n>1)(l,n > 1)(l,n>1) and G1,G2{G_1},{G_2}G1,G2 and G3{G_3}G3 are three geometric means between lll and n, then G14 +2G24 +G34G_1^4\, + 2G_2^4\, + G_3^4G14+2G24+G34 equals:A4 lmn24\,lm{n^2}4lmn2B4 l2m2n24\,{l^2}{m^2}{n^2}4l2m2n2C4 l2m n4\,{l^2}m\,n4l2mnD4 l m2n4\,l\,{m^2}n4lm2nCheck answerSkip