## summation of k^5 for first n natural no.s

Posted October 12th, 2008 by SD_88

then you summed up for k from 1 to n

and you Reduced certain terms

and you got

(n+1)^6=1+6S_5+15S_4+20S_3+15S_2+6S_1+n

(n+1)^6 on lhs...and summation of k^6 on rhs as 1..cud you give steps...rest all the terms are ok on rhs...shouldnt we get an S6 on rhs from the first term....

i would be thankful to you if you cud give the finl result too if possible.....or a source where it wud be present.....as i am more interested in the reswult rather than its derivation and method of getting it.....the result of summation of k^5 is of utmost importance to me now...

THANK YOU for answering me!!