Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 12 Sequences and Series - 12.1 Define and Use Sequences and Series - 12.1 Exercises - Skill Practice - Page 798: 21


n-th term:$\quad a_{n}=\displaystyle \frac{n}{4}$ The next term is $\displaystyle \quad a_{6}=\frac{6}{4}$

Work Step by Step

The n-th numerator is $n$. The denominator is always $4$. So, the nth term is $a_{n}=\displaystyle \frac{n}{4}$, and the next term is $a_{6}=\displaystyle \frac{6}{4}=\frac{3}{2}$ (Since the terms $\displaystyle \frac{2}{4}$ and $\displaystyle \frac{4}{4}$ were not fully simplified, we leave $\displaystyle \frac{6}{4}$ as is)
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