Question

prove that any positive odd integer is of the form 4q+1 or 4q+3 for some integer q ​

Answer 1

Hey mate here is your answer...

I prove that any positive odd integer is of the form 4q+1 or 4q+3 .

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Answer 2

let the +ve odd integer be a

w.k.t

a= b.q+r (0<r<b)

a= 4q + 1 ( r= 1,2,3,4)

case 1 = a= 4q +1 and a=4q + 3

thus 4q +1 and 4q+3 are +ve odd integer for some inteser q