Write the explicit formula for the geometric sequence below.

6 , 30 , 150 , 750 , ...

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by

5

5

gives the next term. In other words,

a

n

=

a

1

⋅

r

n

-

1

a

n

=

a

1

⋅

r

n

-

1

.

Geometric Sequence:

r

=

5