What's the next number ?

[Sriman Dutta]

Hello everyone,

I have got here the following series -

0,4,18,48,100,?

So what's the next number ?

[Sriman Dutta]

can nobody solve this?

[timo]

I say it's either 6*6*5 or 42. Probably 42.

[Sriman Dutta]

logic?

[Daecon]

0*1*1=0

 

1*2*2=4

 

2*3*3=18

 

3*4*4=48

 

4*5*5=100

 

5*6*6=180

Edited October 6, 2016 by Daecon

[Sriman Dutta]

Right Daecon.

The missing numbers is 180 indeed. Although my logic was different.

1^3-1^2=0

2^3-2^2=4

3^3-3^2=18

4^3-4^2=48

5^3-5^2=100

6^3-6^2=180

 

It's interesting that a single problem can have multiple solutions......

[timo]

x³ - x² = x²(x-1) = x*x*(x-1).

[AshBox]

If n = 1

1 x (1+1)²
1 x 2²
=4 << First number of the sequnce

If n = 2

2 x (2+1)²
2 x 3²
=18 << Second number of the sequence

and so on..

 

The Next Number is 180.

Edited December 19, 2016 by AshBox