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.
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.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.2: Sequences, Series And Summation Notation
Problem 42E
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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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