Discrete Math: Prove that 3+3*5+3-5^2+...+3*5^n = (3(5^(n+1) -1))/4

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HowTo Discrete Math Rosen Proof by Induction Integer proofs Discrete Mathematics and It's Applications Computer Science Math College Discrete Math Kenneth Rosen Calculus Dogmathic

Another Discrete Math and Its Applications problem (Rosen Chapter 5.1 Question 7):
Prove that 3+3*5+3-5^2+...+3*5^n = (3(5^(n+1) -1))/4

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

Chapters:
00:00 Introduction
00:56 Base Case P(0)
02:12 Inductive Step
02:38 Induction Hypothesis P(k)
03:20 We Want to Show P(k+1)
04:48 Algebra Steps
10:22 QED and Thanks for Watching

#discretemathematics #discrete_mathematics #induction_proof #Mathematical Induction for Discrete Mathematics

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