### Home > INT1 > Chapter 6 > Lesson 6.1.4 > Problem6-41

6-41.

For the 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. What is the fifth term, $a_5$?

$3,125$

3. Write an explicit equation for the sequence.

The pattern of the sequence is
$5\\5 \times 5\\5 \times 5 \times 5\:...$