Mathematics Problem Of the Week

Spring 2005

POW #12: Recurring Nightmare!

1) The sequence of numbers satisfies the recurrence relation, . The first few terms of are given: and Find (without a computer).

2) Find all integer solutions of the following system of equations:

Hint: Raise the first equation to the third power.

Due Friday, April 22^th, at Noon.

Solutions should be submitted to Dr. Maegan Bos’ mailbox in the Math office or sent via e-mail to mbos@stlawu.edu

Presentation counts! The prize-winning entry will be selected from all correct submissions, based on the clarity, creativity and elegance of the solution.

Look for the SLU POW on the Web at http://it.stlawu.edu/~math/activities/