2010 can be written as the sum of consecutive positive integers in several different ways.
For example:
2010 = 669 + 670 + 671,
2010 = 501 + 502 + 503 + 504
These involve three and four numbers respectively. Another way involves more than 20 numbers. What is it?
Sum of consecutive positive integers solution
Problem Page Coordinator: Stephen Lee CMath MIMA – Mathematics in Education and Industry
Acknowledgement: The IMA are indebted to MEI for sourcing and supplying Mathematics Today with these well-known puzzles.
First published in Mathematics Today (December 2014)
