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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F560d920e-750b-48cf-91c0-7f3098d80785%2F89b1b297-832c-4569-965c-c4590b984ce5%2Fl02uph9_processed.png&w=3840&q=75)
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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