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Sequences and Series question

2015 · Shift 0 · Q39

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JEE Main
Mathematics
Sequences and Series
2015 · Shift 0 · Q39

Sequences and Series question

2015 · Shift 0 · Q39

JEE MainMathematicsSequences and SeriesMCQ+4 / −1

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

(l,n \gt 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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