Compute the sum Em=6(4m – 3).

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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Using one of the formulas in the image, compute the sum (see 2nd image).

k=1
Some useful summation formulas that occur frequently
Σark (r + 0) =
NI WIWI
k=0
n
k=1
a = na
k=1
=
Summations
2
k²
¸n+1
ar - a
r-1
(n+1)a
n(n+1)
2
n(n+1)(2n +1)
r #1
r = 1
In order to use these formulas, it
requires the bottom index to be a
certain value. In the last two formulas,
note that it does not matter if you
start with k = 0 or k = 1 since no
contribution is made to the sum when
k = 0.
Transcribed Image Text:k=1 Some useful summation formulas that occur frequently Σark (r + 0) = NI WIWI k=0 n k=1 a = na k=1 = Summations 2 k² ¸n+1 ar - a r-1 (n+1)a n(n+1) 2 n(n+1)(2n +1) r #1 r = 1 In order to use these formulas, it requires the bottom index to be a certain value. In the last two formulas, note that it does not matter if you start with k = 0 or k = 1 since no contribution is made to the sum when k = 0.
O Compute the sum Σm=6(4m - 3).
Transcribed Image Text:O Compute the sum Σm=6(4m - 3).
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