Skip to main content
Series
14. Sequences & Series / Series / Problem 3
Problem 3

You take 60 mg 60~\(\text{mg}\) of a vitamin supplement daily. Each day, 60%60\% of the vitamin is eliminated from your body. Let vn v_n be the amount of the vitamin in your body after the n n th dose, with v1=60 v_1 = 60 . What is the steady-state amount of the vitamin in your body? Solve the problem by writing the amount of the vitamin in your body as a geometric series and evaluating the series.