1^4 +2^4+3^4+4^4+....+n^4=?
I know for n, n^2 and n^3. Is there any general form for summation upto n^n?
2007-09-18 02:20:05 · 4 answers · asked by Venkateswaran A 2 in Science & Mathematics ➔ Mathematics
f(n) = (6n^5 + 15n^4 + 10n^3 - n) / 30
2007-09-18 02:23:40 · answer #1 · answered by rahidz2003 6 · 0⤊ 0⤋
Sum Of Fourth Powers
2016-11-07 05:30:09 · answer #2 · answered by mcfee 4 · 0⤊ 0⤋
i did find all the general summation up to n=7 when i found there's one for n=1 and 2. though if i think back now i can never understand why i did that. just curious maybe. not that i ever cared to find out if they're of any use, anyway. when i cant find one for n=8, i thought my brain has stopped working. glad to know it's not true.
2007-09-18 03:46:55 · answer #3 · answered by Mugen is Strong 7 · 0⤊ 0⤋
There are general forms for n^k up to k=7 and (IIRC) a general form for k>7 which involves Sterling numbers and something else (it's been a long time ☺)
Doug
2007-09-18 02:47:32 · answer #4 · answered by doug_donaghue 7 · 0⤊ 0⤋