jee-main 2015 Q62

jee-main · India · 10apr Geometric Sequences and Series Arithmetic-Geometric Sequence Interplay

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:
(1) $4l^2 m n$
(2) $4lm^2 n$
(3) $4lmn^2$
(4) $4l^2 m^2 n^2$

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:\\
(1) $4l^2 m n$\\
(2) $4lm^2 n$\\
(3) $4lmn^2$\\
(4) $4l^2 m^2 n^2$

Paper Questions

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