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1) a1=1, an+1= an + ((-1)^(n+1))n^2

So, the first terms are: a2=2, a3=-2, a4=7, a5=-9, a6=16

Maybe you find it easy, I've been trying really hard to come up with the formula but I haven't got a clue.

2) a1=1, an+1= an + n^3

So, the first ones are: a2=2, a3=10, a4=37, a5=101

And again, no idea.

I suck at this, sorry to bother you but I would really appreciate your help.