Suppose that instead of 1 bacterium 50 bacteria land in your

Suppose that, instead of 1 bacterium, 50 bacteria land in your mouth. Write an equation that describes the number of bacteria b in this colony after n hours.

Solution

initially there are 50 bacteria

that is at 0 hours there is 50

after one hour it multiplies by 4

then bacteria after 1 hour=50*4

then bacteria after 2 hours=50*4*4=50*4^2

then bacteria after 3 hours=50*4^2*4=50*4^3

similarly bacteria after n hours =50*(4^n)