Question

50 Points!! Brennan has been playing a game where he can create towns and help his empire expand. Each town he has allows him to create 1.15 times as many villagers. The game gave Brennan 5 villagers to start with. Help Brennan expand his empire by solving for how many villagers he can create with 15 towns. Then explain to Brennan how to create an equation to predict the number of villagers for any number of towns. Show your work and use complete sentences.

Answer 1

Answer:

5 * 1.15ⁿ

Step-by-step explanation:

The equation would be

a1(r)^(n-1)

Now put it all together

A15= 5(1.15)^(15-1)

Count the rest and add the towns each

A15= 35.38

35 villagers now

Now you will find the equation 1

an=5(1.15)^(n-1)

So it going to equal 5 * 1.15ⁿ