The ratio of the sum of `n` terms of two A.P. ` s` is `(7n+1):(4n+27)` . Find the ratio of their mth terms.

Explanation

To solve the problem, we need to find the ratio of the mth terms of two arithmetic progressions (APs) given the ratio of their sums of n terms.

### Step-by-Step Solution:

1. **Understanding the Sum of n Terms of an AP**:
The sum of the first n terms of an arithmetic progression can be expressed as:
\[
S_n = \frac{n}{2} \times (2a + (n-1)d)
...