infinite n series !!!!!!!!!!!!!!!!!!!!!!

Algebra Level 3

Find the least value of "n" in order that the sum of first n terms of the infinite series 1+\frac { 3 }{ 4 } +(\frac { 3 }{ 4 } )\^ 2+(\frac { 3 }{ 4 } )\^ 2+................................should differ from hte sum of the series by less than { 10 }^{ -6 }.Given that log 2=0.30103 and log 3=0.47712.

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