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The number which best completes the sequence below is 2 9 5 13 10 19 17 ?

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Jesta23:
wow that weird you came up with a solution that works, but isn't what I had.

For the second one I did it like this

2*3 =6
6*7 = 42
42*43 = 1806
1806*1807 = 3263442

Sebur:

--- Quote from: muesli on January 29, 2010, 09:03:50 AM ---1 9 3 8 16 4 9
(click to show/hide)17
the pattern is +8 root +5
1+8=9

3+5=8
8+8=16

4+5=9
9+8=172 6 42 1806 3263442
(click to show/hide)1,06501E+13
pattern: current number + current number squared






lol i guess i put too much effort in it..
--- End quote ---

Hmm I thought these patterns had to be solvable with the same formula for every number. For example Xn = X(n-1) + (X(n-1))^2 for the second one.

fohfoh:

--- Quote from: Sebur on January 29, 2010, 09:29:04 AM ---
--- Quote from: muesli on January 29, 2010, 09:03:50 AM ---1 9 3 8 16 4 9
(click to show/hide)17
the pattern is +8 root +5
1+8=9

3+5=8
8+8=16

4+5=9
9+8=172 6 42 1806 3263442
(click to show/hide)1,06501E+13
pattern: current number + current number squared






lol i guess i put too much effort in it..
--- End quote ---

Hmm I thought these patterns had to be solvable with the same formula for every number. For example Xn = X(n-1) + (X(n-1))^2 for the second one.

--- End quote ---

Certain patterns are exactly the same even if the formula looks different.

muesli:

--- Quote from: Sebur on January 29, 2010, 09:29:04 AM ---
--- Quote from: muesli on January 29, 2010, 09:03:50 AM ---1 9 3 8 16 4 9
(click to show/hide)17
the pattern is +8 root +5
1+8=9

3+5=8
8+8=16

4+5=9
9+8=172 6 42 1806 3263442
(click to show/hide)1,06501E+13
pattern: current number + current number squared






lol i guess i put too much effort in it..
--- End quote ---

Hmm I thought these patterns had to be solvable with the same formula for every number. For example Xn = X(n-1) + (X(n-1))^2 for the second one.

--- End quote ---

i guess for the first one there won't be a formula :)

ok a stupid one: what's next?
3 1 4 1 5
(click to show/hide)it is 9 (pi). whatever.. ::)

temuchin:
27.   

 +7 -4 +8 -3 +9 -2 +10
2 9  5 13 10 19 17 27


love those math problems.   post up some really challenging ones.  :)

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