If 10 times the 10th term of an A.P. is equal to 15 times the 15th term, show that 25th term of the A.P. is zero.

Explanation

To solve the problem, we need to show that the 25th term of an arithmetic progression (A.P.) is zero, given that 10 times the 10th term is equal to 15 times the 15th term.

### Step-by-Step Solution:

1. **Understanding the Terms of A.P.**:
The nth term of an arithmetic progression can be expressed as:
\[
a_n = a_1 + (n - 1)d
...