### Home > CCA > Chapter 6 > Lesson 6.1.2 > Problem6-17

6-17.

For this sequence $5,25,125,625, …$

1. What kind of sequence is it?

What mathematical operation do you use to find the next term?

Geometric.

2. Find the fifth term, $a_{5}$.

$3{,}125$

3. Write an explicit equation for the general term, $a_{n} =$ ?

• The pattern of the sequence is
$5$
$5 × 5$
$5 × 5 × 5...$