# Math Help - Impooortant

1. ## Impooortant

2x2x3=8, 3x3x4=10, 4x4x5=16, 8x8x9=??
Please can u help me and tell me how you solved it ? Thannnnkss

2. ## 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.

3. ## 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?

4. ## 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.

5. ## Re: Impooortant

But 5912 is the difference between 8 and x , isn't it? So the answer would be 5912+8 = 5920 ? So 8x8x9 = 5920 ?

6. ## Re: Impooortant

Yes you are 100% correct: add 8 to that answer to get 5920.

7. ## Re: Impooortant

Thanks a lot for your help but i solved that and yeah you were right. There are many possibilities