Find the sum of the series 5+55+555+ n term 5 .
Mathematics · JEE Main · NTA Exams — Progression and Series
Find the sum of the series \(5+55+555+\ldots \text { n term } 5\).
- \(\frac{10}{9}\left[\left(10^{n}-1\right)-n\right]\)
- \(\frac{5}{81}\left[10^{n+1}-10-9 n\right]\)
- \(\frac{5}{9}\left[\left(10^{n}-1\right)-n\right]\)
- None of these
Answer
(B) 5 81 [10^ n+1 -10-9 n ]
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