Use induction to prove the following for all natural numbers n: 1²+2²+3²+ n(n+1) (2n+1) +n n² = 6 (show all of the work/attach one pdf file with your work).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 40E
Question
Use induction to prove the following for all natural numbers n:
1²+2²+3²+
n(n+1) (2n+1)
+n
n²
=
6
(show all of the work/attach one pdf file with your work).
Transcribed Image Text:Use induction to prove the following for all natural numbers n: 1²+2²+3²+ n(n+1) (2n+1) +n n² = 6 (show all of the work/attach one pdf file with your work).
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