Sequence Question

[Stuart 0366]

This is a difficult one if the second number in the sequence isn't a typo so here goes:

4, 14, 52, 204

What is the next in the sequence and why?

(A 10 yr old girl will be very happy if we can help with this)

[yamar1]

iv ne idea???

[cM iPro v3]

send .: JaCkPoT :. a PM about this one he is very good with numbers and he should know and that is a bit of a hard question for a 10 yr old dont you think?

[Mr Pumpy]

Either the numbers are wrong or your daughter goes to school at NASA.

[Stuart 0366]

I agree, for a mathematician it is difficult never mind a 10 yr old

I honestly think there is a typo in the problem but but it would throw the whole thing out anyway

[Stuart 0366]

Either the numbers are wrong or your daughter goes to school at NASA.

Cheers mate but not my daughter

[maca]

Cheers mate but not my daughter

its doing me head in this dose it relate to times of the year.

[Stuart 0366]

Don't think so, the closest solution we came up with was x4-4 but it doesn,t work for 14 (4x4-4=12)

Have asked the girls mother to make sure the teacher gives out the answer!!

[Mr Pumpy]

I thought it might have been summat to do with weeks and months or summat like that.

Closest my lad got to some kind of sequence was...
4x4-2=14
14x4-4=52
52x4-4=204 blah blah blah

[smithandrewjohn]

This is a difficult one if the second number in the sequence isn't a typo so here goes:

4, 14, 52, 204

What is the next in the sequence and why?

(A 10 yr old girl will be very happy if we can help with this)

thats a tricky one really done bit of research the only number sequence i can find that is similar to yours means that 204 is the typo
the second-order recurrence

s[n] = 4 s[n-1] - s[n-2] (1)

arises in many different situations, such as in the sequence of
"Lucas Numbers" used in primality tests of Mersenne numbers, and
in Heronian triangles, and continued fractions for sqrt(3), and
in general anything that involves the Pell equation x^2 - 3y^2 = 4.
With the "natural" initial values s[0]=2 and s[1]=4, we have the
sequence

2 4 14 52 194 724 2702 10084 37634 ...

This sequence comprises the integer values of s that satisfy the
Pellian equation
s^2 - 3r^2 = 4 sounds complicated but is a simple sequence was she given any more detail with the question other than the numbers?

[Mr Pumpy]

thats a tricky one really done bit of research the only number sequence i can find that is similar to yours means that 204 is the typo
the second-order recurrence

s[n] = 4 s[n-1] - s[n-2] (1)

arises in many different situations, such as in the sequence of
"Lucas Numbers" used in primality tests of Mersenne numbers, and
in Heronian triangles, and continued fractions for sqrt(3), and
in general anything that involves the Pell equation x^2 - 3y^2 = 4.
With the "natural" initial values s[0]=2 and s[1]=4, we have the
sequence

2 4 14 52 194 724 2702 10084 37634 ...

This sequence comprises the integer values of s that satisfy the
Pellian equation
s^2 - 3r^2 = 4 sounds complicated but is a simple sequence was she given any more detail with the question other than the numbers?

SHE'S A 10 YEAR OLD.

[maca]

thats a tricky one really done bit of research the only number sequence i can find that is similar to yours means that 204 is the typo
the second-order recurrence

s[n] = 4 s[n-1] - s[n-2] (1)

arises in many different situations, such as in the sequence of
"Lucas Numbers" used in primality tests of Mersenne numbers, and
in Heronian triangles, and continued fractions for sqrt(3), and
in general anything that involves the Pell equation x^2 - 3y^2 = 4.
With the "natural" initial values s[0]=2 and s[1]=4, we have the
sequence

2 4 14 52 194 724 2702 10084 37634 ...

This sequence comprises the integer values of s that satisfy the
Pellian equation
s^2 - 3r^2 = 4 sounds complicated but is a simple sequence was she given any more detail with the question other than the numbers?

ffs no wonder kids hate school

[Bulld0g]

is it a chinese menu ?

[Stuart 0366]

Pumpy, that's the closest we got (but the wife is still beavering away)

Smithandrewjohn, no other info. The problem as I was told was: 4, 14, 52, 204. What are the next 3 numbers in the sequence? (My question is obviously asking the solution so as to work out the other numbers )

Maca, I agree

[Stuart 0366]

It could be bulldog

One of our friends came up with this (if you can work it out)

4, 14, 52, 204, 812, 3244, 12972

Just remember 4 (Not allowed to say more...orders from the boss )