Write the first five terms of each of the following recursively defined sequences:
an+1 = 2(an)^2, a1 =x, where x is a real number write each term in the form kxn.

See below in bold.

Step-by-step explanation:

a1 = x

a2 = 2(a1)^2 = 2x^2

a3 = 2(a2)^2 = 2(2x^2)2 = 2(4x^4) = 8x^4

a4 = 2(a3)^2 = 2(8x^4)^2 = 128x^8

a5 = 2(a4)^2 = 2(128x^8)^2 = 32768x^16.

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)