Question

A cell-phone company has noticed that the probability of a customer experiencing a dropped call decreases as the customer approaches a cell-site base station. A company representative approached a cell site at a constant speed and calculated the probability of a dropped call at regular intervals, and the probabilities formed the geometric sequence 0.8, 0.4, 0.2, 0.1, 0.05. If the company representative continues calculating the probability of a dropped call, what will be the next term in the sequence?

Answer 1

So do you see the pattern? Do you know what a geometric sequence is

You're going from 0.8 to 0.4

Then from 0.4 to 0.2
And then 0.2 to 0.1

How much are you dividing by each time to get the new number?
Do you see that you're dividing by the same number?

So what would the next term be?