show that any positive odd integer is of the form 4q+1 or 4q+3 where q

1.	show that any positive odd integer is of the form 4q+1 or 4q+3 where q is some integer
Answer» Let a be any positive integer\xa0by EDL a = bq +r\xa00 ≤ r < bpossible remainders are 0, 1, 2 , 3\xa0\xa0this shows that a can be in the form of 4q, 4q+1, 4q+2, 4q+3 q is quotient\xa0as a is odd a can\'t be the form of 4q or 4q+2 as they are evenso a ill be in the form of 4q + 1 or 4q+3\xa0hence proved

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