(1) Prove by induction: Σ²₁ (i² − i + 1) = n³+2n

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 9E
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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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