If the fifth and sixth terms of a geometric sequence are 8 and 16 respectively, then what is the third term?
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:
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
We could continue that for the whole series.