Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Concept explainers

Sequence and Series
A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.
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Suppose c0, c1, c2, ... is a sequence defined as follows: 

c0 = 2, c1 = 2, c2 = 6,

ck = 3ck-3 for every integer k≥3. 

Prove that cn is even for each integer n≥0. 

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