Question

using Euclid division lemma show that the square of any positive integer is either of form 3m or 3m+1

Answer 1

Done!!!!!!
Mark as BRAINLIEST IF satisfied...plz...

Answer 2

let a be any positive integer  in a form  a=3q+r
                                                               r≥0
b=3  => by Euclids division lemma
if r=0 => a= 3q+0     => let q² be m  a²=9q²   => 3m
   r=0 => a= 3q+0     => a²=3(3q²+2q)+1   =>3m+1
   r=0 => a= 3q+0     => a²=3(3q²+4q+1)+1  => 3m+1

hence, square of any positive integer is in the form 3m or 3m+1

hope this helped