II(2) b, = II(2i + 1). an = e i=1 i=1

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.4: Powers Of Monimials
Problem 43WE
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Question

The product x1 · x2 · x3 · · · · xn of the first n terms of a sequence {xi} can be
written through the product symbol Π as follows in the first image.

Consider the sequences {an} and {bn} whose general terms are in the second image.

(a) Describe the first six terms of these sequences and express in words what
each sequence represents.
(b) Find a representation for an in terms of factorial and powers of 2. In
then find a representation for an · bn in terms of factorial. Lastly,
find a representation for bn in terms of factorial and powers of 2. (Hint:
do for the first terms found in the previous item and then generalize.)

II
i=1
Transcribed Image Text:II i=1
II(2)
bn = |[(2i + 1).
an =
e
i=1
i=1
Transcribed Image Text:II(2) bn = |[(2i + 1). an = e i=1 i=1
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