# How do you write the first five terms of the geometric sequence #a_1=7, a_(k+1)=2a_k# and determine the common ratio and write the nth term of the sequence as a function of n?

##### 1 Answer

May 13, 2017

Common Ratio:

Explicit formula:

#### Explanation:

Given the first term,

Since we know the common ratio is

By substituting our known values, we get: