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Stuck on summation question (FP2)

Express (2r+3/[r(r+1)] in partial fractions.
Hence, find the sum from r=1 to r=n of (2r+3/[r(r+1)] * 1/(3)r

I've gotten to the partial fractions as 3/r -1/(r+1)
But I'm not sure how to do the summation by method of differences since there's a 1/3^r term in there...
Original post by bobbricks
Express (2r+3/[r(r+1)] in partial fractions.
Hence, find the sum from r=1 to r=n of (2r+3/[r(r+1)] * 1/(3)r

I've gotten to the partial fractions as 3/r -1/(r+1)
But I'm not sure how to do the summation by method of differences since there's a 1/3^r term in there...


Multiply each of your terms by 1/3^r, and simplify one of them. I think you should then see it perhaps.
Reply 2
Thank you, simplifying it did help :smile:

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