# 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?

##### 1 Answer

#### Answer:

See details below

#### Explanation:

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)