Find the sum to n terms
` (i) 9 + 99 + 999 + …`
(ii) ` 0.2 + 0.22 + 0.222 + …`

Explanation

To find the sum to n terms for the given series, we will solve each part step by step.

### Part (i): Sum of the series \( 9 + 99 + 999 + \ldots \)

1. **Identify the pattern of the series**:
The terms can be expressed as:
\[
9 = 10 - 1, \quad 99 = 100 - 1, \quad 999 = 1000 - 1, \ldots
...