What is the fourth term of the sequence defined by a1 3xy 5 an (___2x y) an 1? (1) 12x 3 y 3 (3) 24x 4 y 2 (2) 24x 2 y 4 (4) 48x 5 y 1?

a1=3xy ^ 5

an = (2x / y) a (n-1)

then

a2 = (2x / y) a (1) = (2x / y) * 3xy^ 5=6 (x^ 2) (y^ 4)

a2=6 (x^ 2) (y^ 4)

a3 = (2x / y) a (2) = (2x / y) * 6 (x^ 2) (y^ 4) = 12 (x^ 3) (y^ 3)

a3=12 (x^ 3) (y^ 3)

a4 = (2x / y) a (3) = (2x / y) * 12 (x^ 3) (y^ 3) = 24 (x^ 4) (y^ 2)

The answer is a4=24 (x^ 4) (y^ 2)