A) Find a Function Rule $p ( n )$ That Gives the Perimeter (Distance Around the Outside) of the Gives

Essay

A) Find a function rule $p ( n )$ that gives the perimeter (distance around the outside) of the n-module in the pattern below. (Use the shortest segment as the measuring unit.) Show your work. Simplify by collecting any like terms.
B) Justify that your rule in part A will always work.