Partial sums: formula for nth term from partial sum | Series | AP Calculus BC | Khan Academy

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The partial sum of a sequence gives as the sum of the first n terms in the sequence. If we know the formula for the partial sums of a sequence, we can find a formula for the nth term in the sequence.

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Salman Khan is a Legend! Thank you for your services to mankind. You will go down in history!

RoboticsDevelopment
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are there any videos showing the inverse of this? where were given (an) and must find Sn? any help would be greatly appreciated

ewokshoterz
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After your final expression, we apply limit n approaches to infinity and then we find whether there is convergence or divergence.( means applying limit) comparison test!

aminasaleem
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I'm a bit confused by the result. Can somebody explain this observation? If the result is true, then a1 (the first term) must = 9 / (10*11) = 9 / 110. S1 (the first partial sum) should equal just the first term, right? but when I plug in 1 to the Sn formula, I get 2 / 11, which does not equal a1. Can somebody explain? Thank you.

BKKGarrett
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lol just took a exam on this last week.

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