Find the sum of 7 terms of the sequence `(1/5+2/(5^2)+3/(5^3)),\ (1/(5^4)+2/(565)+3/(5^6)),\ (1/(5^7)+2/(5^8)+3/(5^9)),\ ,`

Explanation

To find the sum of the first 7 terms of the given sequence, we can break down the problem step by step.

### Step 1: Identify the Terms of the Sequence
The sequence is given as:
1. \( \frac{1}{5} + \frac{2}{5^2} + \frac{3}{5^3} \)
2. \( \frac{1}{5^4} + \frac{2}{5^5} + \frac{3}{5^6} \)
3. \( \frac{1}{5^7} + \frac{2}{5^8} + \frac{3}{5^9} \)
4. Continuing this pattern, we can see that the nth term can be expressed as:
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