Chapter 4.7, Problem 6LC

To determine

To find: The common difference of arithmetic sequence $25,19,13,7,\dots$ .

Answer to Problem 6LC

The common difference of arithmetic sequence $25,19,13,7,\dots$ is 6.

Explanation of Solution

Given:

The sequence is $25,19,13,7,\dots$ .

Calculation:

Subtract the first term from the second term to obtain the difference.

  $25-19=6$

Subtract the second term from the third term to obtain the difference.

  $19-13=6$

Subtract the third term from the fourth term to obtain the difference.

  $13-7=6$

Therefore, the common difference is 6 not $-6$ as the common difference is calculated by subtracting the second term with the first term and hence the difference is positive in this case.

Thus, the common difference of arithmetic sequence $25,19,13,7,\dots$ is 6.