17. The first three diagrams in pattern are shown.
a) Write a formula for the total number of
small squares in the nth diagram
b) Write a formula for the number of
shaded small squares in the nth
diagram
c) Write a formula for the number of
unshaded small squares in the nth
diagram
d) Write your formula from part c) in
factored form
e) Show that both forms of the formula
give the same results for the 15th
diagram