# If the fifth and sixth terms of a geometric sequence are 8 and 16 respectively, then what is the third term?

##### 1 Answer

#### Explanation:

In a Geometric Sequence each term is found by multiplying the previous term by a constant.

In General we write a Geometric Sequence like this:

where:

a is the first term, and

r is the factor between the terms (called the "common ratio")

We can also calculate any term using the Rule:

(We use "n-1" because

SO the series is

CHECK:

FOR

We could continue that for the whole series.

https://www.mathsisfun.com/algebra/sequences-sums-geometric.html