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In a GP, if the fourth terms is the squa...

In a GP, if the fourth terms is the square of the second term, then the relation between the first term and common ratio is ____.

A

`a =r`

B

`a = 2r`

C

`2a = r`

D

`r^(2) = a`

Text Solution

Verified by Experts

The correct Answer is:
A
`t_4 = t_2^(2)`
`rArr ar^(3) = (ar)^(2) rArr ar^(3) = a^(2)r^(2) rArr r =a`.
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