For what value of n, are the with terms of two APs: 63, 65, 67, . . . and 3, 10, 17, . . . equal?

Explanation

To find the value of \( n \) for which the \( n \)-th terms of the two arithmetic progressions (APs) are equal, we will follow these steps:

### Step 1: Identify the first AP and its parameters
The first AP is given as:
\[ 63, 65, 67, \ldots \]
- The first term \( A_1 = 63 \)
- The common difference \( D_1 = 65 - 63 = 2 \)

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