The distribution property is the best justification.
In this specific case, the <em>initial term</em> (a) is 5 and the <em>common ratio</em> (r) is -2
Henceforth, after determining what a and r are, we use the formula for the <em>nth term</em>. Which is:

Therefore, the 14th term is :

Hope it helps!
Answer:
p=2
Step-by-step explanation:
4.05p+14.40=4.50(p+3) < equation
4.05p+14.40=4.50p+13.50 < multiply
14.40=.45p+13.50 < subtract
.9=.45p < subtract
2=p < divide