April 2007

Unfortunately, we did not receive a correct solution to this month's problem. Although the first terms of the sequence seem to repeat with period 16, the sequence is NOT periodic.

Consider the sequence an=22n. Let bn be the first digit of an. Determine whether the sequence bn is periodic.

This month's prize will be awarded to the best explained, correct solution.

Submit your solution to the Mathematics Undergraduate Office (Math P-142) or electronically to by the due date. Acceptable electronic formats are: PDF, Postscript, DVI, (La)TeX, or just plain text. Please include your name and phone number, or preferably your email address.

Closing date: May 1st at 12 pm.