TABLE 2 Some Useful Summation Formulae. Sum Closed Form " Dark (r = 0 k=0 " Sx, x < 1 k=0 -1 Skxx < 1 k=1 ar"+ r-1 Ar#1 n (n + 1) 2 non + 1)(2" + 1) n n + 1) (1-x)²

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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TABLE 2 Some Useful Summation Formulae.
Sum
Closed Form
M
Σark (r = 0)
k=0
Μ
Σ
k=1
H
k=1
M
Σ
k=1
Σχι <1
k=0
k−1
Σκx*-1,|x| < 1
k=1
art1 - a
r-1
Tr#1
n(n + 1)
2
n(n + 1)(2n + 1)
6
n'(n + 1)2
4
1
(1-x)²
Transcribed Image Text:TABLE 2 Some Useful Summation Formulae. Sum Closed Form M Σark (r = 0) k=0 Μ Σ k=1 H k=1 M Σ k=1 Σχι <1 k=0 k−1 Σκx*-1,|x| < 1 k=1 art1 - a r-1 Tr#1 n(n + 1) 2 n(n + 1)(2n + 1) 6 n'(n + 1)2 4 1 (1-x)²
39. Find 2 100k. (Use Table 2.)
200
k=
Transcribed Image Text:39. Find 2 100k. (Use Table 2.) 200 k=
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