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 5th serving?

the forst and 3rd

step-by-step explanation:

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.