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sum of the series 5+55+555+.. up to n termsfind the sum of the following series to n terms : 0.5+0.55+0.555+.. using simplest method
find the sum of the following series up to n terms:i 5+55+555the correct answer is we have 5+55+555+⋯(to n terms)=5(1+11+11+⋯+to n terms)=59(9+99+999+⋯to n terms)=59[(10−1)+(100−1)+(1000−1)+(10n−1)]=59[(10−1