Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 9 - Sequences and Series - Chapter Review - Page 604: 6

Answer

$a_1 = 1$ $a_2 = -1$ $a_3 = -3$ $a_4 = -5$ $a_5 = -7$

Work Step by Step

Substitute numbers $1$ through $5$ to find the first five terms of this series: For $n = 1$: $a_1 = -2(1) + 3$ Multiply first: $a_1 = -2 + 3$ Add to simplify: $a_1 = 1$ For $n = 2$: $a_2 = -2(2) + 3$ Multiply first: $a_2 = -4 + 3$ Add to simplify: $a_2 = -1$ For $n = 3$: $a_3 = -2(3) + 3$ Multiply first: $a_3 = -6 + 3$ Add to simplify: $a_3 = -3$ For $n = 4$: $a_4 = -2(4) + 3$ Multiply first: $a_4 = -8 + 3$ Add to simplify: $a_4 = -5$ For $n = 5$: $a_5 = -2(5) + 3$ Multiply first: $a_5 = -10 + 3$ Add to simplify: $a_5 = -7$
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