Question

Iterates

Answer 1

Find the first three iterates of f(x)=-3x-7 if x0=-8
1st it.)f(x) = 24-7 = 17
-3(-8)-7=24-7=17

2nd it.) f(17)=-3x(17)-7
f(17)=-3x(17)-7=58

3rd it.) f(17)=-3x(58)-7=

Answer 2

This is what I have so far, but something is not right because the third one is 181, and there's not an option for that one. just 17 and 58.

Answer 3

@abb0t @tkhunny @Kainui

Answer 4

-3(17)-7= -58 (not +58)

Answer 5

Oh okay, got it.

Answer 6

So the second iterate is right?

Answer 7

?
it is -58

Answer 8

and
3rd it.) f(-58)=-3(-58)-7=

Answer 9

167

Answer 10

yes

Answer 11

Thank you very much, I see my mistake now.