The first term of an AP is p and its common difference is q. Find its 10th term.

Explanation

To find the 10th term of an arithmetic progression (AP) where the first term is \( p \) and the common difference is \( q \), we can use the formula for the \( n \)-th term of an AP, which is given by:

\[ T_n = A + (n - 1)D \]

where:
- \( T_n \) is the \( n \)-th term,
- \( A \) is the first term,
- \( D \) is the common difference, and
- \( n \) is the term number.

### Step-by-Step Solution:

1. **Identify the first term and common difference**:
- The first term \( A = p \).
- The common difference \( D = q \).

2. **Determine the term number**:
- We need to find the 10th term, so \( n = 10 \).

3. **Substitute the values into the formula**:
- Using the formula \( T_n = A + (n - 1)D \):
\[ T_{10} = p + (10 - 1)q \]

4. **Simplify the expression**:
- Calculate \( 10 - 1 = 9 \):
\[ T_{10} = p + 9q \]

5. **Final result**:
- Therefore, the 10th term of the AP is:
\[ T_{10} = p + 9q \]