Use mathematical induction to prove that n³ +5n is divisible by 6 for all ne N.
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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Question
answer part a
Transcribed Image Text:(a) Use mathematical induction to prove that n³ +5n is divisible by 6 for all ne N.
(b) Let ƒ(x)=1/x²‚x ±0, x = R.
7
Expert Solution
Step 1
To prove that is divisible by 6, for all n, proceed as follows.
Step 1:
Prove the result for n = 1
Since 6 is divisible by 6, therefore the result is true for n=1.
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