4. 5|8" – 3", Vn € N 5. 4|5" – 1, Vn E N 6. 3|n(n+ 1)(n + 2), Vn E N 7. 6|n(n+ 1)(n+ 2), Vn E N 8. If a and b are odd integers, then 8|(a² – b²). 9. If 5|(2a + 1) for some integer a, then 25|(14a² + 19a – 19). - 10. The square of any integers is of the form 5k, 5k +1 or 5k + 4.

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