Use the formula n+1` 1m + 2m +... + n™ = Σ k! k %3D k+1, k=1 to derive the identity: 14 + 24 + . + n' – n(n +1)(2n + 1)(3n² + 3n – 1) - 30

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter1: Equations And Inequalities
Section1.CR: Chapter Review
Problem 67E: 67. Calculate the discriminant associated with the equation 6x2+5x+1=0.
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Use the formula
m
n +
m
1m + 2m + ...+n™ = > .
k +1) k }k!
k=1
to derive the identity:
п(п + 1)(2n + 1)(Зп? + Зп —
1)
14 + 24 + ... + nº
30
Transcribed Image Text:Use the formula m n + m 1m + 2m + ...+n™ = > . k +1) k }k! k=1 to derive the identity: п(п + 1)(2n + 1)(Зп? + Зп — 1) 14 + 24 + ... + nº 30
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