Two APs have the same common difference. The difference between their `100^(t h)`terms is 100, what is the difference between their `1000^(t h)`terms?

Explanation

To solve the problem step by step, we will denote the first arithmetic progression (AP) as having the first term \( A_1 \) and the common difference \( D \). The second AP will have the first term \( A_2 \) and the same common difference \( D \).

### Step 1: Write the general formula for the \( n^{th} \) term of an AP
The \( n^{th} \) term of an arithmetic progression can be expressed as:
\[ A_n = A + (n-1)D \]
where \( A \) is the first term and \( D \) is the common difference.
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