Answer with Step-by-step explanation:
We are given that:
Brennan has been playing a game where he can create towns and help his empire expand.
Brennan started with 5 villagers.
Each town he has allows him to create 1.15 times as many villagers.
i.e. after creating one town he gets 5×1.15 villagers
after creating 2 towns he gets 5×1.15×1.15 villagers
after creating 3 towns he gets 5×1.15×1.15×1.15 villagers
after creating n towns he gets 
Hence, after creating 15 towns he gets 
≈ 41 villagers
An equation to predict the number of villagers for any number of towns is: Let number of towns be n
Then number of villagers = 