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

1 Answer
May 7, 2018

#3,5,11,29#

Explanation:

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#