Find the sum of the following series ,
` (i) 0.5 + 0.05 + 0.005 + 0.0005+…`
(ii) ` 0.3 + 0.18 + 0.108 + … `

Explanation

To find the sum of the given series, we will solve each part step by step.

### (i) Series: \( 0.5 + 0.05 + 0.005 + 0.0005 + \ldots \)

1. **Identify the first term (A) and the common ratio (r)**:
- The first term \( A = 0.5 \).
- The second term is \( 0.05 = 0.5 \times \frac{1}{10} \).
- The third term is \( 0.005 = 0.5 \times \frac{1}{100} \).
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