An ice sculpture measures 65 inches and melts continuously by 3% per minute. Find the height of a sculpture after 15 minutes. Round your answer to the nearest inch.
This is a geometric sequence where r is 0.97 (decreasing by 3% every minute leaving 97% a = 65 n = 15 (each minute is a term and we are looking after 15 min) a(n) = ar^(n-1) a(15) = 65(0.97)^(15-1) a(15) = 42 inches