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How many terms of the sequence sqrt(3),3...

How many terms of the sequence `sqrt(3),3,3sqrt(3)` must be taken to make the sum `39+13sqrt(3)?`

A

3

B

6

C

9

D

not possible

Text Solution

Verified by Experts

The correct Answer is:
B
Let, `a=sqrt3`

`r= 3/sqrt(3) = sqrt(3)`

`S_n =( a(r^n −1))/(r−1)` `= 39+ 13sqrt(3) =( sqrt(3) ((sqrt(3^n) −1)))/(sqrt(3) −1)`

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