The sum to n terms of the series 9 + 99 + 999 + ……. Is

The sum of the series 2 + 6 + 18 + ……… + 4374 is

Determine whether the sum of all the terms in the series is finite. In case it is finite find it. (3)/(5) , ( - 9)/( 25) ( 27)/(125), ( - 81)/(625) ....