(1) Prove by induction: Σ₁(i² − i + 1) = n³+2n

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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(1) Prove by induction: ₁(²- i+ 1) = n³+2n
(2) Prove by induction: 1(1!) + 2(2!) + + n(n!) = (n + 1)! - 1.
Transcribed Image Text:(1) Prove by induction: ₁(²- i+ 1) = n³+2n (2) Prove by induction: 1(1!) + 2(2!) + + n(n!) = (n + 1)! - 1.
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