Question

To ensure he never eats the whole cake, Bobby only decides to eat half of what's left for each serving. If 2/3 of the cake are left initially, and no one else but Bobby eats the cake, how much of the cake will Bobby have eaten by his 4th serving?

Answer 1

forth serving will be : 1/24

Explanation:

first serving :2/3*1/2= 2/6=1/3

second serving : 1/3*1/2= 1/6

third serving : 1/6 *1/2=1/12

forth serving : 1/12*1/2=1/24

fifth serving = 1/24*1/2=1/48 and so on