Find the arithmetic progression consisting of 10 terms , if sum of the terms occupying the even places is equal to 15 and the sum of those occupying the odd places is equal to `25/2`

Explanation

To find the arithmetic progression (AP) consisting of 10 terms where the sum of the terms occupying the even places is equal to 15 and the sum of those occupying the odd places is equal to \( \frac{25}{2} \), we can follow these steps:

### Step 1: Define the terms of the AP
Let the first term be \( a \) and the common difference be \( d \). The 10 terms of the AP can be represented as:
- \( A_1 = a \)
- \( A_2 = a + d \)
- \( A_3 = a + 2d \)
- \( A_4 = a + 3d \)
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