Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning

Chapter 5 - Sequences, Mathematical Induction, and Recursion - Exercise Set 5.1: 13

Answer

$a_n = 1/n - 1/(n+1)$

Work Step by Step

The denominators in each term of the sequence increase by one as n increases by one. The denominators have a difference of one.

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