Name: Discrete Mathematics: Prove 1^2 + 3^2 + 5^2 + ... + (2n+1)^2 = [(n+1)(2n+1)(2n+3)]/3
Uploaded: 2025-08-15T18:58:54+00:00
Duration: 15 min 56 s
Description: More discrete mathematics proofs by induction. Discrete Math and Its Applications problem (Rosen 7th Edition Chapter 5.1 Question 5): Prove 1^2 + 3^2 + 5^2 + ... + (2n+1)^2 = [(n+1)(2n+1)(2n+3)]/3 Dis

3 months ago

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More discrete mathematics proofs by induction. Discrete Math and Its Applications problem (Rosen 7th Edition Chapter 5.1 Question 5): Prove 1^2 + 3^2 + 5^2 + ... + (2n+1)^2 = [(n+1)(2n+1)(2n+3)]/3

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
00:42 Base Case P(0)
03:01 Inductive Step
03:29 Induction Hypothesis P(k)
04:37 We Want to Show P(k+1)
07:47 Algebra Steps
15:06 QED and Thanks for Watching

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