# How do you write the first five terms of the geometric sequence #a_1=6, a_(k+1)=-3/2a_k# and determine the common ratio and write the nth term of the sequence as a function of n?

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F. Javier B.
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Mar 8, 2018

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A geometric sequence is defined as: an ordered sequence of number such that each term is calculated multipliying the prior term by a constant number called ratio. In mathematical terms

In our case

Lets calculate:

The general term is given by

Each term with a odd position will be positive and each term in a even postion will be negative (oscillating)

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