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If g(1) and g(2) be the geometric means ...

If `g_(1)` and `g_(2)` be the geometric means of two series of `n_(1)` and `n_(2)` items. Then the G.M. of the series obtained on combining them is

A

`[ (g _(2)) ^( n _(1))(g _(2))^( n _(2))] ^((1)/( n _(1) + n _(2)))`

B

`(g _(1) g _(2)) ^((n _(1))/( n _(1) + n _(2)))`

C

`(g _(1) g _(2)) ^( ( n _(2))/( n _(1) + n _(2)))`

D

`(g _(1) g _(2))^((n _(1) n _(2))/( n _(1) + n _(2)))`

Text Solution

Verified by Experts

The correct Answer is:
A
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