Question

A photographer charges $100 for the first hour of a photoshoot, and the hourly rate is halved for each additional hour. Which of the following geometric series models represents the income of the photographer after 4 hours?(1 point)

∑4n=14(12)n−1


∑100n=14(12)n−1


∑4n=1100(12)n−1


∑4n=112(100)n−1

Answer 1

The correct model is ∑_{n=1}^{4} 100(1/2)^{n-1} (which equals 100 + 50 + 25 + 12.5 = $187.50).