show that any positive integer is of the form 3q+2 for any integer m.
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Step-by-step explanation:
Le a positive integer be a and ITI is divided by 3 .So the quotient is q and remainder is r.
By Euclid's division lemma
a=3q+r where r=0,1,and2
When r=0,1,2 then we get
a=3q
a=3q+1_________odd
a=3q+2__________even
So it is in that form because it is even...
Hence, it is proved.
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