Write the first five terms of the sequence.Determine whether the sequence is arithmetic.If so, find the common difference.(Assume that n begins with 1.) A_n = 2 + (n - 2)5 A)17, 12, 7, 2, -3Arithmetic sequenced = -5 B)-3, 2, 7, 12, 17Arithmetic sequenced = 5 C)-3, 2, 7, 12, 17Arithmetic sequenced = -5 D)32, 27, 22, 17, 12Arithmetic sequenced = -5 E)12, 17, 22, 27, 32Arithmetic sequenced = 5

Question

Quizplus · Accepted Answer

Plug in n=1, 2, 3, 4, and 5 to get the first five terms of the sequence:

n=1: 2 + (1-2)5 = -3
n=2: 2 + (2-2)5 = 2
n=3: 2 + (3-2)5 = 7
n=4: 2 + (4-2)5 = 12
n=5: 2 + (5-2)5 = 17

The sequence is arithmetic because there is a common difference between each term. In this case, the common difference is 5. Therefore, the answer is B.

Write the First Five Terms of the Sequence