For integral unit increments of x, what equation generates the values of y which are represented in the blocks?

Avoid the obvious.

3	10
21	36

Hint:
The trick works with Internet Explorer, Firefox and Opera but Opera may behave a little differently to mouse explorations; oh, concentrate on the higher part of each block.

If this was not in Tricks, but in Sequences, I would say since A is the first letter, it has a value of 1, and so on; we then assign A, and so forth, the new value represented and as follows: 

A =     3 + 4*(A-1) =  0 + 3 + 4*(1-1) = 3
B = A + 3 + 4*(B-1) =  3 + 3 + 4*(2-1) = 10
C = B + 3 + 4*(C-1) = 10 + 3 + 4*(3-1) = 21
D = C + 3 + 4*(D-1) = 21 + 3 + 4*(4-1) = 36
...
E = D + 3 + 4*(E-1) = 36 + 3 + 4*(5-1) = 55
F = E + 3 + 4*(F-1) = 55 + 3 + 4*(6-1) = 78
etc....

As it is, I am not sure what the trick is.

Posted by Dej Mar on 2008-06-18 17:01:02