# Impooortant

• Jul 16th 2013, 09:13 PM
Impooortant
2x2x3=8, 3x3x4=10, 4x4x5=16, 8x8x9=??
Please can u help me and tell me how you solved it ? Thannnnkss
• Jul 16th 2013, 09:51 PM
chiro
Re: Impooortant

It could literally be any number of sequences but each successive difference has a difference of n! The sequence {8,10,16} when looked at in terms of differences is {2!,3!} so if you apply this pattern then you get a difference of (2!,3!,4!,5!,6!,7!} which means the final number if 2! + 3! + 4! + 5! + 6! + 7! using this specific pattern.

Remember that you can have potentially infinite numbers of sequences just like you can have infinite numbers of polynomials with specific roots.
• Jul 16th 2013, 10:30 PM
Re: Impooortant
Okay thx . But so what should be the answer ? What do u think?
Could it be any number? What do i have to reply?
• Jul 16th 2013, 10:49 PM
chiro
Re: Impooortant
Using my pattern, it would be 2! + 3! + 4! + 5! + 6! + 7! which by R is:

> 2+6+24+120+720+720*7
[1] 5912

So the answer using my pattern is 5912.
• Jul 16th 2013, 11:50 PM