(12-13-2013, 12:37 AM)welcher232 link Wrote:I used the construct that 99.9% of people wouldn't be able to get it. I could just be way over analyzing, and looking for a pattern that isn't really there... here goes.
I drop the last digit of each number, and multiply the remaining digit by N. That number is added to the series N*5.
3=18Â (3*1) + (3*5) = 18
4=32Â (4*3) + (4*5) = 32
5=50Â (5*5) + (5*5) = 50
6=72Â (6*7) + (5*6) = 72
7=98Â (7*9) + (5*7) = 98
8=168 (8*16) + (5*8) = 168
9=369 (9*36) + (9*5) = 369
Like I said, I was purposefully looking for something that might not even actually be there.
Welcher, your numbers do work through 7, but that's a coincidence of the tens digit increasing by 2 each time in 2n^2 through 7 (
18,
32,
50,
72,
98.)Â
Looking at your numbers, the pattern that you actually found, n*(1+2(n-3))+5n, also works to be 2N^2:
=n*(1+2n-6)+5n
=n+2n^2-6n+5n
=2n^2
Can I get a free angry nerds t-shirt now?