You are viewing a single comment's thread. Return to all comments →
Isn't that a little overcomplicated?
S_n = (n^2 - (n-1)^2) + ((n-1)^2 - (n-2)^2) + ... + (1 - 0)
The only terms in this sum that don't cancel are the first and last: n^2 and 0.
Partial sums arrive at the same answer but I think the above logic is what the question is contructed around.
Seems like cookies are disabled on this browser, please enable them to open this website
Summing the N series
You are viewing a single comment's thread. Return to all comments →
Isn't that a little overcomplicated?
S_n = (n^2 - (n-1)^2) + ((n-1)^2 - (n-2)^2) + ... + (1 - 0)
The only terms in this sum that don't cancel are the first and last: n^2 and 0.
Partial sums arrive at the same answer but I think the above logic is what the question is contructed around.