Hi guys, got a question which I need help in:
Show that the kth term of the series
1 + 1/(1+2) + 1/(1+2+3) + 1/(1+2+3+4) +... is 2[1/k - 1/(1+k)]
Hence find the sum of the first 50 terms.
I haven't done this type of question before so I really don't know how to start... Doesn't seem like I can apply arithmetric/geometric progression to solve too...
Thanks in advance!
Hint the denominators are the sum of the first n integers
Originally Posted by Blizzardy
Can you use this to rewrite the series? It wont be geometric or arithmetic but try partial fractions.