Evaluate these summations.
a) N(E)k=1 (k-k^3)
b) N-1(E)k=1 (k^2/N^2)
Note that (E) is the summation symbol.
Not sure how to do these. Help would be appreciated
You need to study SPECIAL SUMS
Hello, brumby_3!
These can be solved with basic algebra, but the process is long and tedious.
Don't know anyone who'd want to do it . . . Okay, it's me.
. .
Take the differences of consecutive terms in the Partial Sums sequence.
Then take the differences of the differences . . . and so on.
We see that the 4th differences are constant.
This tells us that the generating function is of the 4th degree.
The general quartic function is: .
Use the first 5 terms of the sequence and set up this system:
Solve the system: .
. . Hence: .
This can be drastically simplified . . .
. . . .