1.

Show that any positive even integer is of the form 4q or 4q+2 where q is some integer

Answer» LET the REMINDER be 0,1,2,3
r=0
4q

r=1
(4q+1)2
16q+1-8q
4q(4-2)+2
4q+2

r=2
(4q+2)2
16q+4-16
4q(4-4)+4
4q+4

r=3
(4q+3)2
16q+9-24
4q(4-6)+9


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