Question

Emz and Colt are doing good deeds. They each help 5 people and each of those people helps five more and so on.

Answer 1

Answer:

The question is not written, so i will answer in a general way.

We know that we start with two people, Emz and Colt.

Let's define the function:

P(n) = The number of people helped in each iteration.

such that n is the number of each event (n = 1 is when Emz and Colt help 5 people each, n = 2 is when those helped people help more people, and so on)

We know that:

P(1) = 10

Because we have 2 persons helping 5 each, 2*5 = 10.

Now, each one of these 10 persons help 5 people, then:

P(2) = 10*5 = 50

Now each of these 50 people help 5 more, then:

P(3) = (10*5)*5 = 10*5^2

We already could see the pattern, such that:

P(n) = 10*(5)^(n - 1)

This equation represents the number of people helped in each iteration.