Date: 08/30/97 at 00:50:08 From: windows Subject: Integer sequence Show that if 19 distinct integers are chosen from the sequence 1,4,7,10,13,16,19..........,97,100, there must be two of them whose sum is 104.
Date: 09/03/97 at 10:47:03 From: Doctor Rob Subject: Re: Integer sequence List all the pairs that add up to 104: 4,100 7,97 10,94 ... 46,58 49,55 There are 16 pairs. The numbers 1 and 52 are not included. If you choose 19 numbers, at least 17 must be chosen from the 16 pairs, ... I hope this helps. -Doctor Rob, The Math Forum Check out our web site! http://mathforum.org/dr.math/
Search the Dr. Math Library:
Ask Dr. MathTM
© 1994- The Math Forum at NCTM. All rights reserved.