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If m is the A.M. of two distinct real numbers {l}and {n}{}{({}

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 $G_{1}^{4} + 2 G_{2}^{4} + G_{3}^{4}$ equals,

4 l^{2}

\displaystyle{4}{l}^{{m}}^{2}mn

4 l m n^{2}

4 l^{2} m^{2} n^{2}

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Amelia Discussed

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} + 2 G_{2}^{4} + G_{3}^{4}

equals,

13 mins ago

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Question Text	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 $G_{1}^{4} + 2 G_{2}^{4} + G_{3}^{4}$ equals,
Answer Type	Video solution: 1
Upvotes	150