Browse · MATH
Printjmc
algebra senior
Problem
The function generates the sequence in the sense that plugging any number in the sequence into gives the next number in the sequence.
What rational function generates the sequence in this manner?
What rational function generates the sequence in this manner?
Solution
We want to satisfy for all positive integers
Let Solving for we find Hence,
Let Solving for we find Hence,
Final answer
\frac{1}{2 - x}