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 recursive sequence 0.6, 0.4, 0.24, 0.096, 0.02304. If the company representative continues calculating the probability of a dropped call while approaching the cell site at a constant speed, what will be the next term in the sequence?

Answer 1

the answer is 0.00221184

Answer 2

The next term in the sequence is:

0.00221184

Explanation:

We are given that:

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 recursive sequence:

0.6, 0.4, 0.24, 0.096, 0.02304.

as we can see third term is product of first two terms

fourth term is product of third and second term

fifth term is the product of fourth and third term

so, the next term in the sequence which is the sixth term will be the product of fifth and fourth term= 0.02304×0.096

= 0.00221184