Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Use iteration to find a closed formula for the sequences below. Simplify your answer whenever possible.
a.) Let (a_n)be the sequence defined by the recursive relation an=3a_(n−1)+4, with initial term a0=3.
b.) Let (a_n) be the sequence defined by the recursive relation an=a_(n−1)+6, with initial term a0=5
c.) Let (a_n)be the sequence defined by the recursive relation an=a_(n−1)+5n+1 with initial term a0=0.
d.) Let (a_n)be the sequence defined by the recursive relation an=(a_(n−1)) / (1+a_(n−1)) with initial term a0=1.
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