How many terms of the G.P. `3,3//2,3//4, ` be taken together to make `(3069)/(512)?`

Explanation

Sum of the terms Sn​`=3069/512`

First term `a=3 `

Common ratio `r=(3/2)/3
=(3/2)×(1/3)
=1/2`

We know that,

`S_n​=a(1−r^n)/(1−r)`

`(3069/512)=3[1−(1/2)^n]/
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