The sum of the 5th and the 7th terms of an AP is 52 and the 10th term is 46. Find the AP.

Explanation

To find the arithmetic progression (AP) based on the given conditions, we will follow these steps:

### Step 1: Define the terms of the AP
Let the first term of the AP be \( A \) and the common difference be \( D \). The \( n \)-th term of an AP can be expressed as:
\[ A_n = A + (n - 1)D \]
Thus, we can express the 5th, 7th, and 10th terms as follows:
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