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

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

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