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In a GP of 7 terms, the last term is (64...

In a GP of `7` terms, the last term is `(64)/(81)` and the common ratio is `(2)/(3)`. Find the 3rth term.

A

4

B

9

C

8

D

12

Text Solution

Verified by Experts

The correct Answer is:
A
Let `a` be the first term and r the common ratio of the GP.
`T_y = ar^(6) = (64)/(81) rArr a =9`
Therefore the 3rd term, `T_3 = ar^(2)`
`T_3 = 9((2)/(3))^(2) =4`.
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