Prove that 1+2+3+4+...+n= n² + n 2 for every positive integer

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 21EQ
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Prove the following statements with either induction, strong induction or proof by
smallest counterexample.
Transcribed Image Text:Prove the following statements with either induction, strong induction or proof by smallest counterexample.
1. Prove that 1+2+3+4++n=
n² + n
2
for every positive integer
Transcribed Image Text:1. Prove that 1+2+3+4++n= n² + n 2 for every positive integer
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