Question

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.

Answer 1

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