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JRHarrison90
 2 years ago
Show that any three integers contain a pair whose sum is even.
JRHarrison90
 2 years ago
Show that any three integers contain a pair whose sum is even.

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UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0let the first integer be n the next one is n+1 and the last one is n+2

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0if the first integer is even then so will be n+2 OR if the first integer is odd then n+2 will be odd too

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0the sum of two even number is an even number, and the sum of two odd number is also an even numbers so in either case , there will necessarily be a pair that gives an even number when summed

Easyaspi314
 2 years ago
Best ResponseYou've already chosen the best response.0WhatJRharrison92 is asking...any three integers...not necessarily consecutive integers. But the argument is similar for ANY three integers.

JRHarrison90
 2 years ago
Best ResponseYou've already chosen the best response.0Yes ANY three not consecutive.

Easyaspi314
 2 years ago
Best ResponseYou've already chosen the best response.0Well, it says any integers, consecutive or not...but Unkle...will finish that argument for ANY integers.

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0oh, right, thought the question said consecutive.

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0well, if you have three nonconsecutive integers, each of them must be either even or odd, in any combination, there will be sum that is even
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