**Toughest Series Puzzle - 12 September**

What is the next number in this series?

4,12,84,3612....

**For Solution :**Click Here

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What is the next number in this series?

4,12,84,3612....

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62,4867 may be the solution..

ReplyDelete6526884. is the answer

Delete14844

ReplyDelete4 12 42 3612 6526884 21300113901612

ReplyDeletecorrect

Delete6526884 is my answer

ReplyDelete6671364

ReplyDelete6526884

ReplyDelete4, 4*(6/2), 12*(14/2), 84*(86/2), 3612*(3614/2).....

ReplyDeletei.e.

4, 12, 84, 3612, 6526884......

6541332.

ReplyDelete4*(prime just greater than 4/2 )=12

similarly 12*7=84

84*43=3612

3612*1811=6541332

(12*12)/2+12=84

ReplyDelete(84*84)/2+84=3612

(3612*3612)/2+3612=6526884

3612*367 = 1325604

ReplyDeleteI got right answer..The answer is 6526884..It is very simple.

ReplyDeleteIt is something like this

4*3=12

12*((12+2)/2))=84

84*((84+2)/2))=3412

3412*((3412+2)/2)=6526884

I hope you have got it..

4 12 84 3612

ReplyDelete4 * 2 = 8

4 * 1 = 4

84 is the third number

Again

12 * 3 =36

12 * 1=12

3612 Fourth number

In the same way

84 * 4=336

84 * 1=84

33684

Multiples of 21 ,31 ,41 n son on

It could also be solved as:-

ReplyDelete4,12,84,3612,(1556772)

let us see how.

4*3=12

12*[3*(2)+1]=84

84*[7*(6)+1]=3612

3612*[43*(10)+1]=1556772

The pattern may be difficult to recognise hence I state it as 2,6,10 being the constant multiplier of previous successor term.

(Shrohan Mohapatra,Bhubaneswar,Odisha)

4x3 = 12

ReplyDelete12x7 = 84 (12 is last no. and 3x3-2=7)

84x43 = 3612 (84 is last no. and 7x7-6 = 43)

next no:

3612x(43x43-42)=6526884

next num = num*(num/2+1)

ReplyDelete4 x((4/2)+1) =4 x 3 =12

12 x((12/2+1) =12 x 7 =84

84 x((84/2)+1) =84 x 43 =3612

3612 x((3612/2)+1)

= 3612 x 1807 =6526884

Perfect

Delete4,12,84,3612......

DeleteANS :-

2*2 , 2*2*3, 2*2*3*7, 2*2*3*7*43,......

as you can easily notice that the product of previous terms are repeating...

now, we can deduce a series from it for ease

i.e.

1,3,7,43....

By solving this,

((2nd term * 1st term) *2) +1

by this,

(3*1)*2 +1 = 7

similarly

(7*3)*2 +1 = 43

so,

(43*7)*2+1 = 602

Now the complete series answer is

2*2*3*7*43*602= 2174424

6526884 is the next number

ReplyDeleteU(n+1)=U(n)+U(n)*[U(n)/2]