Concept explainers
In Exercises 3-8, by a closed form we mean an algebraic expression not involving a summation over a range of values or the use of ellipses.
Find a closed form for the generating function for each of these sequences. Assume a general form for the terms of the sequence, using the most obvious choice of such a Sequence.)
a)
b) 1,3,9,27, 81, 243, 729, …c)
d) 1,2,1,1,1,1,1,1,1,... e)
f)
g)
h) 1,0,1,0,1,0,1,0,...
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Discrete Mathematics and Its Applications ( 8th International Edition ) ISBN:9781260091991
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage