Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**Yusuke00****Member**- Registered: 2013-11-19
- Posts: 43

Hey guys.I just came out with a new problem i discovered.

Let it be n>=2 a natural number and n rational numbers with the property that,however we pick one of them,the sum of the other n-1 is 0.Show that all the numbers are equal to 0.

xD have fun

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,016

Let the numbers be

and for .Then we have that

for . We see that all of the numbers are the same. It is now obvious that they must all be zero.*Last edited by anonimnystefy (2013-11-24 06:28:02)*

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline

**Yusuke00****Member**- Registered: 2013-11-19
- Posts: 43

Interesting proof,i thought of a different one.

Offline

**Yusuke00****Member**- Registered: 2013-11-19
- Posts: 43

How do you write mathematical here?

I mean with all the symbols and etc.

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,016

Use (math)(/math), except that you put [ and ] instead of ( and ). This enables you to use LaTeX on the forum.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline

**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,657

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Offline

Pages: **1**