Demonstrate that:

pls solve it with explanation.

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- August 13th 2008, 01:59 PMOrtegaexer2
Demonstrate that:

pls solve it with explanation. - August 13th 2008, 02:24 PMTKHunny
Either I don't know what "p" is or that just makes no sense. That's an awful lot of unrelated irrational numbers magically adding up to a Rational.

There must be a typo or simply proving it incorrect is easy enough. - August 13th 2008, 02:42 PMo_O
What's that p doing there .. I'm guessing it should be an 'n'. In any case, this sounds like a proof by induction.

Let be the statement that .

Base case: P(1): 0 = 0. True.

Inductive step: Assume to be true. [tex] We must show that is also true, i.e.

Looking at the left hand side (LHS)

We see that and the next integer up would be . So, since our last term is (one less), then we see that :

Now, rewriting the equation and noticing that what is in red is

Now hopefully if you simplify it, you'll get what you want.

Phew! - August 13th 2008, 04:41 PMTKHunny
Ah! The integer function strikes again. I wish that notation were clear or standard.

- August 14th 2008, 03:49 AMOrtega
Excuse me it's "n" not "p".

I have one demnostration that not need induction but im not under stand it.i will post the solution and i expect you to explain to me:

the demonstration become:

Im not understand why???can you explain to me??? - August 14th 2008, 05:27 AMPlato
- August 14th 2008, 07:29 AMOrtega
yes i undetsand what he wrote.it's more simple than :

.....(what i wrote)

But in my demonstration(in the book)they are not precise anything of that

they write directly the solution .

i thought that :

have a special proprities,for this reason i ask you again:

have ...a special proprities???

for the exemple:

how we can sum that: