Re: Help check my proof please?

Gee, sometimes the Socratic method actually works... I don't know if
teaching math is how you make your living, but you're awful good at it,
quasi.

-E.T.

quasi wrote:
On 25 Apr 2006 08:53:37 -0700, "Joe Blow" <blah_59@xxxxxxxxxxx> wrote:


[SNIP]

4) 1/sqrt(1) + 1/sqrt(2) + ... + 1/sqrt(n-1) + 1/sqrt(n) >= sqrt(n)

eh?

Yep.

It looks fine to me.

However, just when you thought you were done, there's more to think
about here.

In your course, the topic, I think, was proofs by induction.

The above proof is fine, but it's not an inductive proof, at least not
explicitly.

So as a followup exercise, which you _should_ do, to make sure that
you can, and to build a stronger understanding of the role of
induction:

Show an alternate proof, this time a proof by induction.

I'm on my way out -- I won't be back until much later, but give it a
try.

quasi

.

Relevant Pages

  • Re: Mathematical induction
    ... quasi wrote: ... just a quick question regarding mathematical induction. ... It's usually called just "Backwards Induction". ...
    (sci.math)
  • Re: Mathematical induction
    ... quasi wrote: ... just a quick question regarding mathematical induction. ... It's usually called just "Backwards Induction". ...
    (sci.math)
  • Re: Gram-Schmidt process
    ... you will pay anything for induction. ... >is natural here since the Gram-Schmidt process is defined inductively. ... Induction may be a magic bullet ...
    (sci.math)
  • Re: Gram-Schmidt process
    ... you will pay anything for induction. ... >Induction is your friend -- a magic bullet for many problems. ... is natural here since the Gram-Schmidt process is defined inductively. ...
    (sci.math)
  • Re: Help check my proof please?
    ... teaching math is how you make your living, but you're awful good at it, ... quasi. ... Basically, I persisted, and to his credit, so did Joe. ...
    (sci.math)