Find the sum of first n terms and the sum of first 5 terms of the geometric series 1 + `2/3`+`4/9``+dotdotdot`

Explanation

To solve the problem of finding the sum of the first n terms and the sum of the first 5 terms of the geometric series \(1 + \frac{2}{3} + \frac{4}{9} + \ldots\), we can follow these steps:

### Step 1: Identify the first term and the common ratio
The first term \(a\) of the series is:
\[ a = 1 \]
The second term of the series is \(\frac{2}{3}\). To find the common ratio \(r\), we can use the formula:
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