Heyy Forum

Im having difficulty figuring out this question soo any help would be greatly appriciated

Thanks so much (Happy)

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- July 12th 2010, 12:04 PMjess0517Help Mathematical Proofs pleasee
Heyy Forum

Im having difficulty figuring out this question soo any help would be greatly appriciated

Thanks so much (Happy)

Attachment 18180 - July 12th 2010, 01:05 PMroninpro
Did you try working out the product for different values of ?

- July 12th 2010, 01:07 PMjess0517
- July 12th 2010, 01:08 PMroninpro
I computed the values for :

Do you see a pattern, at least in the denominators? - July 12th 2010, 01:10 PMtonio
- July 12th 2010, 02:57 PMSoroban
Hello, jess0517!

Quote:

Find a prove a formula for: .

I cranked out the first few partial products:

. .

It appears that: .

I'll letsupply the proof.*you*

- July 12th 2010, 03:12 PMmeleseDirect computation.
I assume "find and prove" means that induction is involved.

But anyway you could find the value of by direct manipulation of the terms of the product . - July 13th 2010, 12:21 AMOpalg
Notice that . Therefore

Now start cancelling: each of the two factors in the numerators cancels with a factor in a neighbouring denominator. The only terms left uncancelled are at the start and at the end. - July 13th 2010, 10:03 AMjess0517
- July 14th 2010, 02:26 AMmr fantastic
Thread closed due to this member deleting questions after getting help.