Question

your class is conducting an experiment to study geometric sequences. The class forms a line. the first person takes a whole pizza,divides it in half, keeps half, and hands it to the next person. The next people in line do the same with there peices. Which portion does the seventh person in line get

A)1/256
B)1/64
C)1/128
D)1/32
how do you solve this?

Answer 1

If the first person get 1/2
And you said it is a geometric sequence
The second person gets
1/4
The third 1/8
1/2,1/4,1/8..........T7

a=1/2
T7=ar^(n-1)=1/2(1/2)^6=(1/2)^7=1/128