Brennan has been playing a game where he can create towns and 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. 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.

Given:
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.

To get the total number of villagers he can create with 15 towns, we will use the sum of a finite geometric series formula. Pls. see attachment.

n = 15 ; a₁ = 5 ; r = 1.15

Plug the values on the formula and you will get a sum of 237.90 or 238.