Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Define the sequence {b, } as follows:
bo
1
bn
bn-1 +n for n > 1
Use induction to prove that an explicit formula for this
п(п + 1)
sequence is given by: b,, =
+ 1 for n > 0.
2
The answer must include
(1) Proof of the base case
(2) Inductive step
state inductive hypothesis
• state what is being proven in the inductive step
• prove the inductive step
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Transcribed Image Text:Define the sequence {b, } as follows: bo 1 bn bn-1 +n for n > 1 Use induction to prove that an explicit formula for this п(п + 1) sequence is given by: b,, = + 1 for n > 0. 2 The answer must include (1) Proof of the base case (2) Inductive step state inductive hypothesis • state what is being proven in the inductive step • prove the inductive step
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