Question

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 5 villagers 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.

Answer 1

Use the geometric sequence formula since you are multiplying each town's villagers by the amount your teacher gave you.

Explanation:

Plug in the parts of the formula from the numbers given in the question, then you can calculate the number of villagers needed for the 15th town.

Answer 2

35.375 Villagers Live in the 15th village

Explanation:

Brennan can use the Geometric Sequence formula to predict the number of villagers in the 15th town.

(work attached)