Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 11 - Section 11.1 - Sequences - Exercise Set: 15

Answer

$-1, 4, -9, 16, -25$

Work Step by Step

Let's evaluate $a_1, a_2, a_3, a_4, $and $a_5$ by plugging in $1, 2, 3, 4, $ and $5$ for each $n$. We use PEMDAS (parentheses, exponentation, multiplication, division, addition, subtraction) to decide which operations go first. \begin{align} a_1 &= (-1)^11^2 = -1\cdot1^2 = -1\cdot 1 = -1 \\ \\ a_2 &= (-1)^22^2 = 1\cdot2^2 = 1 \cdot 4 = 4 \\ \\ a_3 &= (-1)^33^2 = -1\cdot3^2 = -1\cdot 9 = -9 \\ \\ a_4 &= (-1)^44^2 = 1\cdot4^2 = 1 \cdot 16 = 16 \\ \\ a_5 &= (-1)^55^2 = -1\cdot5^2 = -1\cdot25 = -25 \\ \\ \end{align}
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