{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

9.4 Proof by Mathematical Induction-1

# 9.4 Proof by Mathematical Induction-1 - 9.4 Proof by...

This preview shows pages 1–4. Sign up to view the full content.

Agenda: 1. Lesson: 9.4 Proof by Mathematical Induction Lesson: 9.4 Proof by Mathematical Induction Goal: Prove summations by mathematical induction. DOD Principals of Mathematical Induction Let be a statement involving the positive integer . If: 1. is true (the base case) 2. Implying that is true shows that is also true, for every positive value, Then must be true for all positive integers . Our steps… 1. Show that is true (prove the base case) (this is usually trivial, but necessary!) 2. Assume is true. Using the fact that is assumed true, show that is also true. (this step is harder than 1., but with some algebraic manipulation, it is possible) Think of Hint It is not enough to show that patterns hold.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern