Derive the following formulae (i) (ii) (iii) Σ Π r=1 έρ r=1 = Σμ r=1 r= n(n+1) 2 n(n + 1) (2n + 1) 6 = n(n+1) 2 .

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Derive the following formulae
(i)
(ii)
(iii)
Σ
n
r=1
Σε
r=1
=
Σμ
r=1
r=
n(n+1)
2
n(n + 1) (2n + 1)
6
=
n(n+1)
2
.
Transcribed Image Text:Derive the following formulae (i) (ii) (iii) Σ n r=1 Σε r=1 = Σμ r=1 r= n(n+1) 2 n(n + 1) (2n + 1) 6 = n(n+1) 2 .
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