Question

To show that arithmetic sequence formulas have the same structure as linear functions, choose the linear function equation that has the same structure as the arithmetic sequence an=6+(n−1)⋅8
.(1 point)
Responses

y=2x−8

y equals 2 x minus 8

y=8x+6

y equals 8 x plus 6

y=8x−2

y equals 8 x minus 2

y=6x+8

y equals 6 x plus 8

Answer 1

y = 8x − 2

Reason: a_n = 6 + (n−1)·8 = 6 + 8n − 8 = 8n − 2, so the corresponding linear function is y = 8x − 2.