Write whether every positive integer can...

Write whether every positive integer can be of the form `4q+2` where q is an integer, Justify your answer

Text Solution

Verified by Experts

No.
Verificaition : By Eudlid's dividison lemma
`q=bq+r`
`"Where " b=4`
`a=4q+ r " where " t=0 ,1,2,3`
`rArr q =4q " or " 4q +1 " or " 4q+2 " or " 4q+3`
`:.` Every positive integer cannot be of the form `(4q+2)`.

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