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Find a formula for the nth partial sum Sn of the following series. If the series is finite, determine the sum. If the series is infinite, determine if it converges or diverges, and if it converges, determine the sum. Please simplify your solution.

Find a formula for the nth partial sum Sn of the following series If the series is finite determine the sum If the series is infinite determine if it converges class=

Respuesta :

Answer:

Step-by-step explanation:

put i=1,2,...,n

[tex]\frac{1}{5}-\frac{1}{6}\\\frac{1}{6}-\frac{1}{7}\\\frac{1}{7}-\frac{1}{8}\\..............\\................\\................\\\frac{1}{n-1}-\frac{1}{n}adding ~vertically~downwards\\S_{n}=\frac{1}{5}-\frac{1}{n}[/tex]

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