If sum of first 6 terms of an AP is 36 and that of the first 16 terms is 256 , then find the sum of first 10 terms.

Explanation

To find the sum of the first 10 terms of an arithmetic progression (AP) given the sum of the first 6 terms and the first 16 terms, we can follow these steps:

### Step 1: Write the formula for the sum of the first n terms of an AP
The sum of the first n terms \( S_n \) of an AP can be expressed as:
\[ S_n = \frac{n}{2} (2A + (n-1)D) \]
where:
...