Discrete Math: Find a formula of the sum of the first n even positive integers. Prove the formula.

Discrete Mathematics and Its Applications problem (Rosen Chapter 5.1 Question 9):
(a) Find a formula for the sum of the first n even positive integers.
(b) Prove the formula you conjectured in part (a).

Discrete Mathematics and Its Applications playlist:
https://youtube.com/playlist?list=PLm90IN9RVLf_BneWC40564ZZAqpe2sz6-&si=bKhYao84EXCHpl6N

Induction Proofs playlist:
https://youtube.com/playlist?list=PLm90IN9RVLf-z-V3NIPi0-ZhxckZHup9q&si=hIv_gDttX16fM1F5

Chapters:
00:00 Introduction
02:11 Part (a) Finding a Formula
05:21 Part (b) Proving Our Conjecture by Induction
05:41 Base Case P(1)
06:27 Inductive Step
06:40 Induction Hypothesis P(k)
07:33 We Want to Show P(k+1)
09:09 Algebra Steps
11:50 QED and Thanks for Watching

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