5, 10.5, 22.05, 46.305, If it is a geometric sequence, choose the common ratio. If it is not a geometric sequence, choose "not geometric.

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

2.1

gives the next term. In other words,

a

n

=

a

1

⋅

r

n

-

1

.

Geometric Sequence:

r

=

2.1

This is the form of a geometric sequence.

a

n

=

a

1

r

n

-

1

Substitute in the values of

a

1

=

5

and

r

=

2.1

.

a

n

=

(

5

)

⋅

(

2.1

)

n

-

1

Remove parentheses around

2.1

.

a

n

=

5

⋅

2.1

n

-

1