Assume the pattern continues for each of the following sequences of tile figures. Let S(n) be the function giving the total number of tiles in the nth figure. For each of the following, find a formula for S(n) in terms of n. In part (b), each tile is divided into 4 tiles in the subsequent figure
(a)
(b)
ΔΑ
(a) The number of tiles in the nth figure in the sequence can be represented by the function S(n) =
(Type an expression using n as the variable Simplify your answer.)
(b) The number of tiles in the nth figure in the sequence can be represented by the function S(n)-1
Type an expression using n as the variable. Simplify your answer.)
Enter your answer in each of the answer boxes
1,4,9 of boxes the first one is just 1 box then 4 boxes then 9 boxes