To find the common difference of the arithmetic sequence $-3, 2, 7, \ldots$, you can subtract any term from the subsequent term.

1. From $-3$ to $2$: $2 - (-3) = 2 + 3 = 5$

2. From $2$ to $7$: $7 - 2 = 5$

Since both differences are the same, the common difference is $5$.

Summary

• Common Difference: $5$

Would you like more details or have any questions? Here are some related questions you might find interesting:

1. What are the next three terms in the sequence?
2. How can you determine the nth term of this arithmetic sequence?
3. What is the sum of the first ten terms of the sequence?
4. How does the common difference affect the sequence's graph?
5. Can you provide an example of another arithmetic sequence with a different common difference?

Tip: Always verify the common difference using multiple pairs of terms in the sequence to ensure consistency.