The only loose connection I can make is that despite laying out the criteria for determining the sequences, at no point did you really ask anything that requires actually determining the sequences. (Sadly I only realized this after working out sequence 2, anyway).
So despite appearing "really hard," at the outset, if you "keep it simple", read carefully and just answer the questions being asked, it's actually quite easy.
a) "Really Hard"
b) Yes - regardless of how you determine Sequence 2, N1 is simply 9000 - N0. So abs(N1 - N0) = abs(9000 - N0 - N0) = abs(9000 - 2N0) which is clearly even regardless of what N0 is.
c) "Keep it simple, stupid."
d) See (a).
Posted by tomarken
on 2014-03-11 15:25:35