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1. Suppose b,, b2, b3 .. Is a sequence defined by b, = 3, b2 = 9, bu2 + br-1 for all integers k >= 3. Prove that bn is divisible by 3 for all integers n>=1. 2. Suppose x1, X2, X3 ... Is a sequence defined by x1 = 2, x2 = 4, bk2 + 2bk-1 for all integers k >= 3. Prove that Xn is always an even number.

1. Suppose b,, b2, b3 .. Is a sequence defined by b, = 3, b2 = 9, bu2 + br-1 for all integers k >= 3. Prove that bn is divisible by 3 for all integers n>=1. 2. Suppose x1, X2, X3 ... Is a sequence defined by x1 = 2, x2 = 4, bk2 + 2bk-1 for all integers k >= 3. Prove that Xn is always an even number.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Suppose b,, b2, b3 .. Is a sequence defined by b, = 3,, b2 = 9, bu2 + br-1 for all integers k >= 3. Prove that bn is divisible by 3 for all integers n>=1. 2. Suppose x1, X2, X3 ... Is a sequence defined by x1 = 2, x2 = 4, br2 + 2bk-1 for all integers k >= 3. Prove that xn is always an even number.
Transcribed Image Text:1. Suppose b,, b2, b3 .. Is a sequence defined by b, = 3,, b2 = 9, bu2 + br-1 for all integers k >= 3. Prove that bn is divisible by 3 for all integers n>=1. 2. Suppose x1, X2, X3 ... Is a sequence defined by x1 = 2, x2 = 4, br2 + 2bk-1 for all integers k >= 3. Prove that xn is always an even number.
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