Another Sum of Series: Sum of (3n+4)/n(n+1)(n+2)

Finding the sum of a series where the denominator is n(n+1)(n+2). We can get a "hint" from simpler problems, though. For example, how do we deal with series where the denominators are simpler - like, n(n+1) or (n+1)(n+2)? How can we utilize such method to this problem?
#Sequences #Series #PartialFraction
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[@sigmainclination9483]

How do u make thumbnail ,I am weak at it 😢

[@CornerstonesOfMath]

Well, I don't consider myself some kind of master of thumbnails, but if I may explain: I make thumbnails with Microsoft PowerPoint, using its features of drawing various shapes and color them in various ways. Most of the mathematical equations are also created by the PowerPoint's "insert equation" tool. If I want to be very precise about the graphs in thumbnails, I draw the graphs with Desmos, capture them, and copy+paste them into my PowerPoint slides. In a thumbnail, I try to emphasize the key elements of the problem that is handled in the video. Hope this helped 😀