The sum of 4th and 8th terms of an A.P. is 24 and the sum of 6th and 10th terms is 44. Find the A.P.

Explanation

To solve the problem, we need to find the arithmetic progression (A.P.) given the conditions about the sums of certain terms. Let's denote the first term of the A.P. as \( A \) and the common difference as \( D \).

### Step 1: Write the expressions for the terms
The \( n \)-th term of an A.P. is given by the formula:
\[ T_n = A + (n - 1)D \]
Thus, we can express the 4th, 6th, 8th, and 10th terms as follows:
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