श्रेणी 0.5 + 0.55 + 0.555 + … का n पद तक योग क्या है?

1
\(\frac{5}{9}\left[ {\;n - \frac{2}{9}\left( {1 - \frac{1}{{{{10}^n}}}} \right)} \right]\)
2
\(\frac{1}{9}\left[ {5 - \frac{2}{9}\left( {1 - \frac{1}{{{{10}^n}}}} \right)} \right]\)
3
\(\frac{1}{9}\left[ {n - \frac{5}{9}\left( {1 - \frac{1}{{{{10}^n}}}} \right)} \right]\)
4
\(\frac{5}{9}\left[ {n - \frac{1}{9}\left( {1 - \frac{1}{{{{10}^n}}}} \right)} \right]\)

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