How to show that the sum of two consecutive numbers is always odd

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asked Nov 17, 2022 32.8k views

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Mike Ross · Answer 1 · 2022-11-21T21:28:18+0000

Answer:

And integer is a whole numberLet the integer = 2X meaning it is even and the next number is (2X+1) making it oddTherefore the sum of the two consecutive integers is2X + 2X + 1=4X+1As this cannot be factorised by 2 provibg this has proved it is odd.

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How to show that the sum of two consecutive numbers is always odd

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