id: 06124904
dt: j
an: 2013a.00697
au: Chen, Zhibo; Wei, Sheng; Xiao, Xuerong
ti: Finding sums for an infinite class of alternating series.
so: Int. J. Math. Educ. Sci. Technol. 43, No. 5, 694-702 (2012).
py: 2012
pu: Taylor \& Francis, Abingdon, Oxfordshire
la: EN
cc: I35 N45
ut: alternating series; sum of series; recursive formula
ci:
li: doi:10.1080/0020739X.2011.622802
ab: Summary: Calculus II students know that many alternating series are
convergent by the alternating series test. However, they know few
alternating series (except geometric series and some trivial ones) for
which they can find the sum. In this article, we present a method that
enables the students to find sums for infinitely many alternating
series in the following form
$$\sum_{n=1}^{\infty}\dfrac{(-1)^{n+1}}{(a_1n+b_1)(a_2n+b_2)\dots
(a_kn+bk)}.$$
rv: