#15 et bod of proof Rar the given statement. Nete: You don't have to see ifS throuch 9etermine whether or not induction is an option ase e argument actwalty wwrks, fust state whether or not the statementeN Ce type of question fw which induction would be an option.*EAR any integer, then s divides 5" + 2 3"-+1.t a positive integer, then 2"> .Ror every integer n > 1, 1(tD+2(2) + +n(nl) (n+1)!-1.& If e is an integer, then n+n+1 is odd.9. 1f is a real number, theu vr r.Now we ask that you try to construct some induction proofs on your own:10 Prove that for any intesger n,n> 1, n+5n +6 is divisible by 3.n(3n+1)2.11. Prove that for any natural number n, 2+5+8+...+(3n-1)=12. Prove that for any natural number n, 5-1 is divisible by 4.2n+1 1.13. Prove that for every natural number n, 20 +2+..+2"=14. Prove that for any natural number n, 7|(9" - 2").15. Prove that for each natural number n, t+...+%3D(4n-3)(4n+1)4n+116. Prove that for each natural number n, 21 (4"+1 +52n-1).n+217. Prove that for each natural number n, + ++.. +* = 2 - .18 Let re R.r 1. Prove that for any natural number n,1+r+r+ + = S.%3D

Name: #15 et bod of proof Rar the given statement. Nete: You don't have to s
Uploaded: 2024-03-05T11:52:21.000Z
Channel: Bartleby
Description: #15 et bod of proof Rar the given statement. Nete: You don't have to see ifS throuch 9etermine whether or not induction is an option ase e argument actwalty wwrks, fust state whether or not the statementeN Ce type of question fw which induction would