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)

y=2x−8


y=6x+8


y=8x+6


y=8x−2

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Answer 1

y = 8x − 2

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