Understanding the Problem
To express 49 as the sum of 7 odd numbers, we first need to remember that the sum of any odd numbers is odd. Since 49 is odd, we can indeed find such a combination.

Properties of Odd Numbers
- Odd numbers can be represented in the form of \(2n + 1\), where \(n\) is a non-negative integer.
- The smallest odd numbers are: 1, 3, 5, 7, 9, 11, 13, etc.

Calculation Steps
1. **Find the Average**:
- Since we want the sum of 7 odd numbers to equal 49, we first calculate the average.
- Average = \( \frac{49}{7} = 7 \).
2. **Construct the Odd Numbers**:
- To ensure we have 7 odd numbers that sum to 49, we can start from the average and adjust symmetrically around it.
- A simple set could be: 1, 3, 5, 7, 9, 11, 13.
3. **Check the Sum**:
- Sum = 1 + 3 + 5 + 7 + 9 + 11 + 13 = 49.

Final Result
- Thus, 49 can be expressed as the sum of 7 odd numbers:
- 1, 3, 5, 7, 9, 11, 13.
This combination not only satisfies the requirement but also illustrates how odd numbers can be creatively used to achieve a specified sum.

1+3+5+7+9+11+13