1.

What is the sum of the series 0.5 + 0.55 + 0.555 + … to n terms?

A. \(\frac{5}{9}\left[ {\;n - \frac{2}{9}\left( {1 - \frac{1}{{{{10}^n}}}} \right)} \right]\)
B. \(\frac{1}{9}\left[ {5 - \frac{2}{9}\left( {1 - \frac{1}{{{{10}^n}}}} \right)} \right]\)
C. \(\frac{1}{9}\left[ {n - \frac{5}{9}\left( {1 - \frac{1}{{{{10}^n}}}} \right)} \right]\)
D. \(\frac{5}{9}\left[ {n - \frac{1}{9}\left( {1 - \frac{1}{{{{10}^n}}}} \right)} \right]\)
Answer» E.


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