If film l-m) = Im then the arithmetic mean off (l, m) and f (m. 1) is
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Correct option is
B
4 lm
2
n
Given m is the Arithmetic mean between l and n
⇒m=
2
l+n
...(1)
And Given G
1
,G
2
,G
3
are Geometric mean between l and n
∴G
1
=l
3/4
n
1/4
G
2
=l
1/2
n
1/2
and G
3
=l
1/4
n
3/4
Hence, G
1
4
+2G
2
4
+G
3
4
=l
3
n+2l
2
n
2
+ln
3
=ln(l+n)
2
=4lm
2
n
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