Find the sum of the following series: `5+55+555+ to\ n\ t e r m sdot`

Explanation

To find the sum of the series \( S = 5 + 55 + 555 + \ldots \) up to \( n \) terms, we can express each term in a more manageable form.

### Step 1: Express each term
Each term in the series can be expressed as follows:
- The first term is \( 5 \)
- The second term is \( 55 = 5 \times 11 \)
- The third term is \( 555 = 5 \times 111 \)
- The fourth term is \( 5555 = 5 \times 1111 \)
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