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

1.	Show that any positive odd integer is the form of 4q+1 or 4q+3 ,where q is sum integer
Answer» Let a be the positive integer by Euclid division lemma a=bq+r and b=4(R=0,1,2,3)Put r=0A=4q+0A=4q it is not even nor oddPut r=1A =4q+1 it is oddPut r=2A=4q+2 it is evenPut r=3A=4q+3 It is odd So any odd integer is of form 4q+1or 4q+3

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