Answer:
Step-by-step explanation:
<u>Geometric Sequence
</u>
It's a particular type of sequence where the next term is computed as the previous one times a constant number called common ration. The general formula for a geometric sequence is
where n is the number of the term
We have to help Divya and Miguel to find an explicit formula for the sequence 80,40,20,10,..
The first term is
We need to compute the common ratio, knowing that
From the general formula
we solve for r
Let's test further to make sure the sequence has a common ratio
Similarly we find
The required explicit formula is