## College Algebra (10th Edition)

Published by Pearson

# Chapter 9 - Section 9.1 - Sequences - 9.1 Assess Your Understanding - Page 647: 28

#### Answer

$a_n=\dfrac{1}{n(n+1)}$

#### Work Step by Step

The pattern shows that: (1) The numerator is always 1. (2) The denominators involve the product of two numbers: the term number $n$ and the next integer $n+1$. Thus, the $n^{th}$ term of the sequence is: $a_n=\dfrac{1}{n(n+1)}$

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