A tough maths question on the topic of series and induction.....PLEASE HELP!?

Question

FORM A CONJECTURE FOR THE SERIES :

1^K +2^K +3^K + 4^K +......+ N^K

HINT: MAKE USE OF PATTERNS OBSERVED IN
1+2+3......+N
1^2+2^2+3^2+......+N^2
1^3+2^3+3^3+.....+N^3.......
ETC

MATHS GENIUSES PLEASEEE HELP ME WITH THIS. I CANT SOLVE THIS. ITS DAMN TOUGH. I'D BE INDEBTED TO U IF U CAN HELP.
THANK U. GOD BLESS U!!

Answer 1

Honestly I do not know the ans. But I found this site that gives the ans and some clues