Answer:
The term is given by .
Step-by-step explanation:
Geometric sequences have this explicit form:
where is the first term and is the common ratio:
We are given the first term is .
The common ratio is the result of taking a term and dividing by it's previous term. So all of these should lead to the same result since we are given the sequence is geometric:
Let's check it in our calculators (since I'm feeling lazy):
So all four of those fractions gave me 0.2 which tells me it is indeed geometric and that the common ratio is .
So the explicit form for this sequence given is:
We want to evaluate this for :