Find the first four iterates of the function f(x) = 3x - 7 with an initial value of x0 = 4.
a.
-5, -8, -17, -44
c.
5, 8, 17, 44
b.
-7, -11, -15, -49
d.
7, 11, 15, 49

The answer is:

c. 5, 8, 17, 44

To find the iterates we need to take an initial input (x value) into the fuction, giving as result an output(iterate), then, the next input will be the previous output (iterate).

So,

Being w,x and y real numbers, the iterates are x, y, and z.

We are given the function,

Where, the initial input (x0) is 4

Now

- Iterating, starting with "x" equal to 4, we have:

So, the first iterate is 5.

- Iterating with "x" equal to 5, we have:

So, the second iterate is 8.

- Iterating with "x" equal to 8, we have:

So, the third iterate is 17.

- Iterating with "x" equal to 17, we have:

So, the fourth iterate is 44.

Hence, the iterates of the function with an initial value of x(0)=4 , are:

5, 8, 17, 44

Therefore, the correct option is c. 5, 8, 17, 44

Have a nice day!

answer: 1722

step-by-step explanation:

given: the mass of saturn=

the mass of mercury=

the number of times the mass of saturn is greater than the mass of mercury

hence, the mass of saturn is 1722 times greater than the mass of mercury.