How do you find the first three iterates for the function f(x)=3x−4 given the initial value x_0=3?

Ivan Buckley

Ivan Buckley

Answered question

2022-09-21

How do you find the first three iterates for the function f ( x ) = 3 x - 4 given the initial value x 0 = 3 ?

Answer & Explanation

Abagail Stephenson

Abagail Stephenson

Beginner2022-09-22Added 9 answers

Iterating this function simply means:

Take the input
Triple it
Subtract four.

We start with x=3, so:

Take the input 3
Triple it 9
Subtract four. 5

Second iteration: start with x=5

Take the input 5
Triple it 15
Subtract four. 11

Third iteration: start with x=11

Take the input 11
Triple it 33
Subtract four. 29

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