# Arithmetic and geometric sequences: Identifying and writing an explicit rule

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### Question Description

The sequences below are either arithmetic or geometric.  For each sequence, determine whether i it is arithmetic or geometric, and write the formula for the nth term an of that sequence

TYPE               nth term formula

-6, -8, -10, ...

27, -9, 3, ...

tsveiukolha
School: Boston College

-6, -8, -10,...    Arithmetic    a_n=a1+(n-1)d=-6+(n-1)(-2)=-2n-4

27, -9, 3,...       Geometric     a_n=a1*r^(n-1)=27(-1/3)^(n-1)

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Tutor went the extra mile to help me with this essay. Citations were a bit shaky but I appreciated how well he handled APA styles and how ok he was to change them even though I didnt specify. Got a B+ which is believable and acceptable.

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