Triangle inequality proof

  • #1
My professor said this was the triangle inequality. We're to use mathematical induction to prove it. I've gotten some work done, and after "proving" it, it just seems to easy. :|

http://answerboard.cramster.com/advanced-math-topic-5-321495-0.aspx" [Broken].
 
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Answers and Replies

  • #2
statdad
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The work you've done is essentially correct - the idea is to write

[tex]
|a_1 + a_2 + \dots + a_k + a_{k+1}| = |(a_1 + a_2 + \dots + a_k) + a_{k+1}|
[/tex]

then use the hint once, then your induction hypothesis.
 
  • #3
thank you

thanks!
 

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