If a sequence is defined so that it depends on the value of the previous term, then to find the kth term, you must first compute terms 2, 3, 4, …, and k – 1. You will be given the first term.
This same comment applies to finding the kth iterate of a function. You must first compute the 1st, 2nd, …, and (k – 1)st iterates.
In calculating iterates, always evaluate each iterate for the numerical value x0 you are given.
Recursion and Special Sequences
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.