Question

Enter the explicit rule for the sequence

Answer 1

`a_n= (2)/(5) ( {5}^(n - 1) )`

Step-by-step explanation

The recursive rule for the geometric sequence is

`a_1=(2)/(5) ;a_n=5a_(n-1)`

This implies that:

The common ratio is;

`r = 5`

The explicit rule is given by:

`a_n=a_1( {r}^(n - 1) )`

We substitute the values to obtain;

`a_n= (2)/(5) ( {5}^(n - 1) )`