## Algebra 2 (1st Edition)

Published by McDougal Littell

# Chapter 12 Sequences and Series - 12.1 Define and Use Sequences and Series - Guided Practice for Example 4 - Page 796: 8

#### Answer

$\qquad \displaystyle \sum_{n=1}^{\infty}6^{n}$

#### Work Step by Step

From the first four terms, we observe the pattern nth term = $6^{n}$. The first term corresponds to n=1 (lower limit). The sum has infinitely many terms (no upper limit ... we write $\infty$) Summation notation:$\qquad \displaystyle \sum_{n=1}^{\infty}6^{n}$

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