Which is the next number in below series.

1, 2, 7, 12, 19, 42, ?

1, 2, 7, 12, 19, 42, ?

Which is the next number in below series.

1, 2, 7, 12, 19, 42, ?

1, 2, 7, 12, 19, 42, ?

Looks like we would have OP as winner.

http://www.research.att.com/~njas/se...lish&go=Search

Without commas this returns 432 pages of results; looked through the first few but there was nothing obvious.

So we need more terms to deduce the sequence.

Of course, any number can be the answer, for example 99, because these are the roots of the equation

x^7-182*x^6+10500*x^5-252586*x^4+2762303*x^3-13306896*x^2+24059196*x-13272336

Quote:

Originally Posted byxpi0t0sNothing found here:

http://www.research.att.com/~njas/sequences/?q=1%2C2%2C7%2C12%2C19%2C42&sort=0&fmt=0&language= english&go=Search

Without commas this returns 432 pages of results; looked through the first few but there was nothing obvious.

So we need more terms to deduce the sequence.

Quote:

Originally Posted byxpi0t0sOf course, any number can be the answer, for example 99, because these are the roots of the equation

x^7-182*x^6+10500*x^5-252586*x^4+2762303*x^3-13306896*x^2+24059196*x-13272336

As you already said, we probably need some more terms ...

Kshiteej can we have the answer of this so we can have the question for today.

Code:

1 2 1 7 5 4 12 5 0 -4 19 7 2 2 6 42 23 16 14 12 6 113 71 48 32 18 6

that was nice xpi0t0s

The next number is 37. Am i right?

sorry for my late reply.

Consider alternative terms set 2 ie 2,12,42

12-2 = 10 = (2)^3 + 2

42-12 = 30 = (3)^3 + 3

Consider alternative terms set 1 ie. 1,7,19

7-1 = 6 = (2)^2 + 2

19-7= 12 = (3)^2 + 3

as the next number belongs to alternative set 1 ( because next numbers postion is odd)

next number should be 19 + (4)^2 + 4 = 39

So the answer is 39.

1, 2, 7, 12, 19, 42

The diff b/w 1st and third is 6 (7-1)

The diff b/w 5th and 3rd is 12 (19-7)

So,The diff b/w 7th and 5th should be 18 (37-19) which follows multiples of 6.

Similarly,

the diff b/w 4th and 2nd is 10 (12-2)

the diff b/w 6th and 4th is 30 (42-12)