Mathematics Problem Of the Week

Fall 2005

POW #2

Summing Lucas Squares

The Lucas numbers are defined recursively by

L₀ = 2

L₁ = 1

L_n+2 = L_n+1 + L_n , n³0

Find and justify an expression (in closed form in terms of Lucas numbers) for

Due Friday, September 9^th at Noon.

Solutions should be submitted to Dr. R. Lock's mailbox in the Math office or sent via e-mail to rlock@stlawu.edu.