An animator uses red tiles to design a pattern that grows each second, as shown in this diagram. Use the drop-down menus to build functions that describe how the pattern is changing. t = 1: A pattern with 5 shaded squares. T = 2: a pattern with 12 shaded squares. T = 3: A pattern with 21 shaded squares. CLEAR CHECK s(t) gives the number of tiles in the inner square of the pattern at t seconds. s(t)= a(t) gives the number of tiles added to the outside of the inner square of the pattern. a(t)= P(t) gives the actual number of tiles in the pattern at t seconds. P(t)=s(t) a(t) P(t)=