prove the following assertion using induction for all integer n>0

8: Prove the following assertion using induction For all integers n0 15 5.9 9.13 (4 3(4n+) 4n+1 9: Prove the following assertion using induction: For all integers >0 4+10+16+ +16,1-2)=n(3n+1) 10: Construct an argument that supports the following statement: "If three distinct integers are given, then there must be two of them whose sum is even