using euclids lemma prove that any odd positive integers is of the form 6m+1,6m+3,or 6m+5
abdulrafey:
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According to E.D.L
a=bq+r
a=6m+r [where 'a' is any positive odd integer and r = 1,3,5
1=6(0)+1 = 6m+1 [where m = 0]
3=6(0)+3=6m+3 [where m =0]
5=6(0)+5=6m+5 [where m=0]
Hence we can say that any +ve odd integer is of the form give in the question.
a=bq+r
a=6m+r [where 'a' is any positive odd integer and r = 1,3,5
1=6(0)+1 = 6m+1 [where m = 0]
3=6(0)+3=6m+3 [where m =0]
5=6(0)+5=6m+5 [where m=0]
Hence we can say that any +ve odd integer is of the form give in the question.
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