Thread: [SOLVED] How to calculate the following?

a) Prove that the sum of fourth powers of the first n integers is 1/30n(n+1) (2n+1)(3n2+3n+1) .


Please explain

Originally Posted by spmlingam

a) Prove that the sum of fourth powers of the first n integers is 1/30n(n+1) (2n+1)(3n2+3n+1) .


Please explain

i'm not sure what you are asking, since you don't use parentheses. is it ?

anyway, i'm thinking induction. did you try that?

Hello, spmlingam!

You have a typo . . .

Prove that the sum of fourth powers of the first integers is:

. . . . . . . . . . . . . . . . . .
. .

An inductive proof may be the way to go.
. . [The algebra gets very messy, though.]

Any other approach requires even more algebra . . .