Consider the Arithmetic progression with first term 1, common difference 3 and last term 100. If A is any set of 19 distinct numbers from the arithmetic progression, show that there must always be two numbers whose sum is 104.

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- September 9th 2010, 10:04 PMacc100jtArithmetic Series
Consider the Arithmetic progression with first term 1, common difference 3 and last term 100. If A is any set of 19 distinct numbers from the arithmetic progression, show that there must always be two numbers whose sum is 104.

Thank you! - September 10th 2010, 12:35 AMCaptainBlack
- September 10th 2010, 01:32 AMacc100jt
What happen if i pick 19 integers between 1 and 34 inclusive, but may not be consectutive, then n=17 and m=19 may not be in the set...hmm

- September 10th 2010, 02:34 AMCaptainBlack