Express 1/r(r+1) in partial fractions and use the result to find the sum of the following series as a single fraction in terms of n:
1/1x2 + 1/2x3 + 1/3x2 + ............... + 1/n(n+1)
I can express it as partial fractions to 1/r - 1/r-1 but from there, I don't know, I don't think it's an arithmetic sequence as there is no common difference.
Thanks in advance.
Thank you for that, I never would have thought to do it that way, I'll bear that in mind.
Though, I'm still no further with the original question. I've added some of the terms together and recognise that the answer you provided does also produce that, but I don't see how?