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
08, 04.02,01,005. If the company representative continues calculating the probability of a dropped call, what will
be the next term in the sequence?
A
0.025
B)
000S
0.010
D)
0.0005

The next term in the sequence is:

     0.00221184

Step-by-step 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