# What is the next number? 1,2,8,48,384,?

This is 3840. The default is
multiply by 2, then 4, then 6, then 8, then 10, … .

1
1×2 = 2
2×4 = 8
8×6 = 48
48×8 = 384
384×10 = 3840
12×3480 = 41760

It can be written as one of the following:

(2n)!!
(2^n) n!

Notice that!! does not mean to factor twice. Oh! means factorial. !! means something called “double factorial”.

So for n=5 (whatever you want), put:

(2^5) 5!

= 32 × (5 × 4 × 3 × 2 × 1)

= 32 × 120 = 3480

The double factorial is where you take all the others. For n=5, we can do:

(2×5)!! = 10 !!

= 10 × 8 × 6 × 4 × 2

note that we take all other factors counting backwards from 10

= 3480

Which also demonstrates how much this recursion really defines!! Occupation.

http://en.wikipedia.org/wiki/Double_factorial#Doub…

2×1=2
4×2=8
6×8 = 48
8×48 = 348
10×348 = 3480
12 x 3480 = 41760

3840

1*2 = 2
2*4=8
8*6=48
48*8=384
384 * 10 = 3840

then multiply by 10 to get 3840

1 2 8 48 384

It seems to be successive multiples of 2, so 10 x 384 = 3840

3840…each next number is multiplied by the next number counted by two.

1 (x2) 2 (x4) 8 (x6) 48 (x8) 384 (x10) 3840.

3840
You multiply each term by, then 4, then 6, then 8, then 10, then 12, etc.

3840 followed by 46080

in statistics, this is called (perfect) autocorrelation

try a little more

the sequence is like this!

1×2=2
2×4=8
8×6=48
48×8=384
then..
384×10=3840

hope this helped!

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