Determine whether the sequence is arithmetic.If so,find the common difference. 2,7,12,17,22
A)-5
B)-3
C)5
D)not arithmetic
E)2

Question

Quizplus · Accepted Answer

The given sequence is arithmetic because each term is obtained by adding a constant value to the previous term. To find the common difference, we can subtract any two consecutive terms. For example,

common difference = 7 - 2 = 5
common difference = 12 - 7 = 5
common difference = 17 - 12 = 5
common difference = 22 - 17 = 5

Therefore, the common difference is 5, and the answer is choice C.

Determine Whether the Sequence Is Arithmetic