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 as he had in the one before. The game gave Brennan five villages to start with. Explain to Brennan how to create an equation to predict the number of villagers in any specific town. Then show how to use your equation to solve for the number of villagers he can create to live in the 15th town. PLEASE HELP, I WILL GIVE BRAINLIEST!!

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 =

answer is more than one

step-by-step explanation:

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.