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Question

The sum of the first n terms of the series 6 + 66 + 666 + ….. is



Solution

The correct option is D


6+66+666+....=23(9+99+999+...)=23[(1021)+(1031)+....]=23[10+102+103+.....10nn]=23[10(10n1)(101)n]=227[10n+1109n]

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