Find the sum upto n terms of the series `0.b+0.b b+0.b b b +0.b b b b+"......",AA " b" in N " and "1 le b le 9.`

Explanation

To find the sum up to n terms of the series \(0.b + 0.bb + 0.bbb + \ldots\), where \(b\) is a natural number between 1 and 9, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Series**:
The series can be expressed as:
\[
S_n = 0.b + 0.bb + 0.bbb + \ldots + 0.b \text{ (n times)}
...