Chapter 8.2, Problem 1E

To determine

To fill: The blank in the statement “ The constant difference between consecutive terms of an arithmetic sequence is called the $\boxed{}$ ” .

Answer to Problem 1E

The complete statement is The constant difference between consecutive terms of an arithmetic sequence is called the $\boxed{\text{common difference}}$ .

Explanation of Solution

Given information:

The statement “The constant difference between consecutive terms of an arithmetic sequence is called the $\boxed{}$ .”

Consider the provided statement “The constant difference between consecutive terms of an arithmetic sequence is called the $\boxed{}$ .”

Recall that in arithmetic sequence , the difference of consecutive terms is constant.

The constant difference is called the common difference denoted by d.

Thus, the complete statement is The constant difference between consecutive terms of an arithmetic sequence is called the $\boxed{\text{common difference}}$ .