Sequences and Iteration Answers

The population model describing the population of antelope in an area is: The maximum population sustainable in the area is 135, and the current population is 89. Find the population of antelope after each of the first ten years. Be sure to round to the nearest whole number before each calculation.

Find the first four iterates of the function f(x) = 2x with an initial value of x0 = 2.

Find the first three iterates of the function f(z) = 2z + (3 - 2i) with an initial value of z0 = -1 - 2i.

Find the first three iterates of the function f(z) = z2 + c with a value of c = 1 + 2i and an initial value of z0 = 0.

Find the first three iterates of the function f(z) = 2z + (3 - 2i) with an initial value of z0 = 5i.

Find the first three iterates of the function f(z) = 2z + (3 - 2i) with an initial value of z0 = 4.

Find the first four iterates of the function f(x) = (x - 5)2 with an initial value of x0 = 4.

Find the first four iterates of the function f(x) = x2 with an initial value of x0 = -1.