Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 12 - Section 12.1 - Sequences and Summation Notation - 12.1 Exercises - Page 850: 10


$a_{1}=1$, $a_{2}=\displaystyle \frac{1}{4}$, $a_{3}=\displaystyle \frac{1}{9}$, $a_{4}=\displaystyle \frac{1}{16}$, $a_{100}=\displaystyle \frac{1}{10,000}$.

Work Step by Step

$a_{n}=\displaystyle \frac{1}{n^{2}}$ $a_{1}=\displaystyle \frac{1}{(1)^{2}}=1$, $a_{2}=\displaystyle \frac{1}{(2)^{2}}=\frac{1}{4}$, $a_{3}=\displaystyle \frac{1}{(3)^{2}}=\frac{1}{9}$, $a_{4}=\displaystyle \frac{1}{(4)^{2}}=\frac{1}{16}$, $a_{100}=\displaystyle \frac{1}{(100)^{2}}=\frac{1}{10,000}$.
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