Suppose b1, b2, b3, ... is a sequence defined as follows: b1 = 4, b2 = 12, bk = bk-2 + bk-1 for each integer k≥3. Prove that bn is divisible by 4 for every integer n≥1.
Suppose b1, b2, b3, ... is a sequence defined as follows: b1 = 4, b2 = 12, bk = bk-2 + bk-1 for each integer k≥3. Prove that bn is divisible by 4 for every integer n≥1.
Chapter9: Sequences, Probability And Counting Theory
Section9.1: Sequences And Their Notations
Problem 67SE: Consider the sequence defined by an=68n. Is an=421 a term in the sequence? Verify the result.
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Suppose b1, b2, b3, ... is a sequence defined as follows:
b1 = 4, b2 = 12,
bk = bk-2 + bk-1 for each integer k≥3.
Prove that bn is divisible by 4 for every integer n≥1.
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