Question

Determine the common difference of the given arithmetic sequence:

Given: -8, -14, -20, -26,...
a) 4
b) -4
c) -6
d) 6

Answer 1

The common difference of the arithmetic sequence (-8, -14, -20, -26,...) is -6.

Step-by-step explanation:

The student is asked to determine the common difference of an arithmetic sequence. To find the common difference, we subtract any term from the term that follows it. For the sequence given: -8, -14, -20, -26, we calculate the common difference by subtracting the first term from the second term:

-14 - (-8) = -14 + 8 = -6

This result indicates that the common difference for the sequence is -6.