Your class is conducting an experiment to study geometric sequence. The class forms a line. The first person takes a whole pizza, divided it in half, keeps half, and hands the other half to the next person. The next person in line do the same thing with their piece. Which portion of the whole pizza does the seventh person in line get?

Question

A. 1/256
B. 1/64
C. 1/128
D. 1/32

Answer 1

you clearly have
a = 1/2
r = 1/2

You want the 7th term is thus
1/2 * (1/2)^6 = 1/2^7 = 1/128

And if the textbook wrote the problem exactly as you posted it, their editor should be shot.