# A geometric sequence is defined by the explicit formula #a_n = 5(-3)_(n-1)#, what is the recursive formula for the nth term of this sequence?

##### 1 Answer

Sep 7, 2016

The recursive formula is:

#### Explanation:

I assume the formula is:

To calculate the recursive formula first we can calculate some terms of the sequence:

From these calculations we see that the first term is

This algorithm can be written as the recursive formula: