Arithmetic and geometric sequences: Identifying and writing an explicit rule

timer Asked: Nov 29th, 2015
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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, ...

Tutor Answer

School: Boston College

Thank you for the opportunity to help you with your question!

-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)

Please let me know if you need any clarification. I'm always happy to answer your questions.

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