Question: PLEASE ANSWER 8,9 AND 10 (MATHEMATICAL INDUCTION) 8. (6 points) Show that if the difference of two squares is divisible by 2, then their difference

PLEASE ANSWER 8,9 AND 10 (MATHEMATICAL INDUCTION)

8. (6 points) Show that if the difference of two squares is divisible by 2, then their difference is divisible by 4. (Use Induction) 9. (8 points) Prove that V n E N, if 3 does not divide n, then 3 divides (n2 - 1) 10. (10 points) Define a sequence a1, a2, a3,.. as follows: al- Use induction to show

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