This one's a discrete mathematics question strictly due to its notation.
Compute the exact sums of the following: (SHOW YOUR WORK)
a) where is an integer between 1 and (I have no idea how to answer this one)
b) (I believe I have the answer, but I lack the steps and process to reach the answer)
c) (I may have answered this one, but I'd like confirmation)
d) (This one was easy, and I've already answered it)
This shouldn't be too hard for some people, but I'd rather not get these wrong.
for 2 you need to rewrite the sum and isolate the term which is being summed:
Check this! Do you need ?
Then you can use a closed form of the sum of squares to replace the sum with a relation based on n:
Square pyramidal number - Wikipedia, the free encyclopedia