5th puzzle post-the impossible sequence

1. Feb 21, 2006

michealsmith

o.k wats missing from the LINE UP....

9,36,225,256,400, _ ,1225,1600 .

damm, u got all the others instantly.. hope it isnt the case for this ...its a 3 step solution ...sorta ,nothing too ridiculous ,,and its slightly lateral and mensa ' ry.
goood luck
btw who ever solves it post as clearer method as possible

Last edited: Feb 21, 2006
2. Feb 21, 2006

daveb

Well, I found a pattern, though if this is the one you’re looking for is anyone’s guess.
Take the pattern, 3, 3, 5, 4, 4, 6, 5, 5, 7,…..
Multiply it term by term with the pattern 1, 2, 3, 4, 5, 6, 7, 8
Square each one, then the pattern is
(3x1)^2 = 9
(3x2)^2 = 36
(5x3)^2 = 225
(4x4)^2 = 256
(4x5)^2 = 400
(6x6)^2 = 1296
(5x7)^2 = 1225
(5x8)^2 = 1600

3. Feb 21, 2006

michealsmith

yep dav yep but wat r the origins of those numbers on the left ...the ones on the far left......
btw how do u make ur writting invisible i dunno how to do that

Last edited: Feb 21, 2006
4. Feb 21, 2006

davee123

I'm not sure if you're looking for something else that's significant about the series 3,3,5,4,4,6,5,5,7,6,6,8,7,7,9... But essentially daveb's answer was:

F1(n) = F1(n-1)+1*(n%3)*((n-1)%3)-.5*((n-1)%3)*((n-2)%3)
F1(0) = 3

(A complicated way of getting +0, +2, -1, +0, +2, -1, +0, +2, -1, etc.)

F(n) = ((F1(n-1)+1*(n%3)*((n-1)%3)-.5*((n-1)%3)*((n-2)%3)) * (n+1))^2

As for the invisible writing, it's pretty simple-- You enter:

Now you see me

Which becomes:

Now you don't!

DaveE

Last edited: Feb 21, 2006
5. Feb 22, 2006

michealsmith

acttually i was just going for the fact that each number represeted the amount of letters in the numbers from ...1 to 8 ...which makes it (3x6)^2 = 324