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Show that any three integers contain a pair whose sum is even.
 6 months ago
 6 months ago
Show that any three integers contain a pair whose sum is even.
 6 months ago
 6 months ago

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

UnkleRhaukusBest ResponseYou've already chosen the best response.0
if 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
 6 months ago

UnkleRhaukusBest ResponseYou've already chosen the best response.0
the 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
 6 months ago

Easyaspi314Best ResponseYou've already chosen the best response.0
WhatJRharrison92 is asking...any three integers...not necessarily consecutive integers. But the argument is similar for ANY three integers.
 6 months ago

JRHarrison90Best ResponseYou've already chosen the best response.0
Yes ANY three not consecutive.
 6 months ago

Easyaspi314Best ResponseYou've already chosen the best response.0
Well, it says any integers, consecutive or not...but Unkle...will finish that argument for ANY integers.
 6 months ago

UnkleRhaukusBest ResponseYou've already chosen the best response.0
oh, right, thought the question said consecutive.
 6 months ago

UnkleRhaukusBest ResponseYou've already chosen the best response.0
well, 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
 6 months ago
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