Common Difference of an Arithmetic Progression
An arithmetic progression (AP) is a sequence of numbers in which the difference between any two consecutive terms is constant. This constant difference is known as the common difference (d). In order to find the common difference of an arithmetic progression, we can use the formula:

Common Difference (d) = (nth term - first term) / (n-1)

Given Arithmetic Progression: 7, 10, 13, 16
To find the common difference of the given AP, we can substitute the values of the first term, nth term, and the total number of terms into the formula.

Substitute:
- First term (a) = 7
- Nth term (16) = 16
- Total number of terms (n) = 4

Calculation:
Common Difference (d) = (16 - 7) / (4-1) = 9 / 3 = 3
Therefore, the common difference of the arithmetic progression 7, 10, 13, 16 is 3. This means that each term in the sequence increases by 3 from the previous term.

Conclusion:
Understanding how to calculate the common difference of an arithmetic progression is essential in analyzing and predicting the terms in a sequence. By identifying the constant difference between consecutive terms, we can determine the pattern and growth of the sequence.