April 10, 2000
Problem of the Month

The Number Sequence Problem

What is the next number in this sequence?

4, 16, 37, 58, 89, 145, 42, 20, ...

Solution to the Problem:

The next number would be 4, and the sequence would repeat.

Each number represents the sum of the squares of the individual digits that compose the preceding digits.

4^2 = 16
1^2 + 6^2 = 37
3^2 + 7^2 = 58
5^2 + 8^2 = 89 etc.

Correctly solved by:

1. Tom Marino	Winchester, VA
2. Richard Mocarski	Winchester, VA
3. Josh Grewal	Winchester, VA

Send any comments or questions to: David Pleacher