Find the common difference of the arithmetic sequence with a1= -5, a4= 10 and a11= 45

To find the common difference of an arithmetic sequence, we can use the formula for the \(n\)th term of an arithmetic sequence:

\[
a_n = a_1 + (n-1) \cdot d
\]

where:
- \(a_n\) is the \(n\)th term,
- \(a_1\) is the first term,
- \(d\) is the common difference, and
- \(n\) is the term number.

### Step 1: Use the given information for the 4th term.
Given:


Learn how to find the common difference of an arithmetic sequence given the first term (a1), the 4th term (a4), and the 11th term (a11). This problem involves using the formula for the nth term of an arithmetic sequence and is suitable for students in Grades 9-12.

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