Question

Show that any positive integer is of the form 3m or 3m + 1 or 3m +2

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Answer 1

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Answer 2

Answer:

let a be any positive integer and b = 3

by Euclid division lemma

a=3m+r where r is positive and less than b or 3

possible values of r are 0,1,2

either a = 3m+0

or a= 3m +1

or a= 3m +2

this shows that any positive integer of the form 3m,3m+1 or 3m+2