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How many terms of the series 3,6,12,.. h...

How many terms of the series 3,6,12,.. having sum 381?

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`a=3`
`r=6/3​=2`
Sum`=381`
Sum=`a(r^n−1)/(r-1)​` =`381=3(2^n−1)/(2-1)`
​ =`381/3​=2^n−1`
`=127=2^n−1`
`=128=2^n`
...
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