Question

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.

Answer 1

Answer:

Step-by-step explanation:

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

$\frac{1}{5}-\frac{1}{6}\\\frac{1}{6}-\frac{1}{7}\\\frac{1}{7}-\frac{1}{8}\\..............\\................\\................\\\frac{1}{n-1}-\frac{1}{n}adding ~vertically~downwards\\S_{n}=\frac{1}{5}-\frac{1}{n}$