Given that 1 n²-n+1 use the method of differences to show that in terms of m. Sm = Un 2m Σ n=m+1 www Un = 1 n² +n + 1 m(3m + 1) (m² + m + 1)(4m² + 2m + 1)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given that
in terms of m.
Un
use the method of differences to show that
Sm
1
1
n² − n+1_n² +n+1
2m
Σ
n=m+1
Un
m (3m + 1)
(m² + m + 1)(4m² + 2m + 1)
Transcribed Image Text:Given that in terms of m. Un use the method of differences to show that Sm 1 1 n² − n+1_n² +n+1 2m Σ n=m+1 Un m (3m + 1) (m² + m + 1)(4m² + 2m + 1)
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