Thread: A hard fraction problem

I have a problem with a fraction.

(1+1/1)*(1+1/2)*(1+1/3)…(1+1/99)

How should i solve this?

Thx in advance

Hint: express each factor as an improper fraction.

Can you give an example cuz I'm not good at these terms in english.

Originally Posted by Notatroll

Can you give an example cuz I'm not good at these terms in english.

Yeah I hae done that but how am I supposed to solve it? It's like 100000000 digits long :S

Oh thx. I just got it, isn't it f(x)=x+2? Every time you multiplice it it grows with 1, 98 times. Thx again to you Plato and emakarov!

Originally Posted by Notatroll

Can you give an example cuz I'm not good at these terms in english.

I also had to look it up in Wikipedia before I replied. Is it too difficult to Google it?

Originally Posted by Notatroll

Oh thx. I just got it, isn't it f(x)=x+2?

I don't know what you mean by f(x).

Originally Posted by Notatroll

Every time you multiplice it it grows with 1, 98 times.

This is also not clear. When you multiply, say (1 + 1/1)(1 + 1/2) by (1 + 1/3), it does not grow by 1.

Originally Posted by Notatroll

Yeah I hae done that but how am I supposed to solve it? It's like 100000000 digits long :S

Rewrite as , as and so on. Pretty much everything cancels, as Plato showed. It essentially "telescopes."

Ehh... (2/1)*(3/2)*(4/3) is actually 4, so it does grow with 1 all the time.. So i suppose i was correct.