Number sequence

[cockydude]

now i really need help. This particular maths assignment i have (IB math portfolio) requires me to find conjectures from number patters. i figured out most of em except this particular one which goes like

1^k + 2^k + 3^k 4^k +...... + n^k

can anyone help me with coming up a conjecture with the above sequence?

THANKS (:

help would really be wonderful

[Nootropic]

if k is greater than or equal to -1 the numbers will form a sequence that does not converge. If k is less than -1, they will form a converging sequence. However, this doesn't mean a sum can't be obtained for the nth partial sum, check out summation formulas Math Refresher: Summation Formula