MATHEMATICS · Multi-part · AoPS · Mathematics · Sequences & Series · Sequences & Series
Problem
Theodore is squeezing the juice from some lemons. When he has squeezed 6 lemons, he has collected 274.3 mL of juice.
(1) Find the average amount of juice collected from each lemon.
(2) Hence write an arithmetic sequence un which approximates the amount of juice collected from squeezing n lemons.
(3) Predict the amount of juice collected from squeezing 13 lemons.