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

Explanation

ATQ,

Sum of the terms `S_n = 3069/512`

First term `a=3`
Common ratio `r=(3/2)/3
=(3/2)xx(1/3) = 1/2`


We know that,
`S_n =(a(1−r^n ))/(1−r)`
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