Intermediate Algebra (6th Edition)

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

Chapter 11 - Section 11.2 - Arithmetic and Geometric Sequences - Exercise Set - Page 646: 1

Answer

$4, 6, 8, 10, 12$

Work Step by Step

The general term $a_n$ of an arithmetic sequence is given by $a_n = a_1 + (n-1)d$ where $a_1$ is the first term and $d$ is the common difference. We plug in $n = 1, 2, 3, 4, 5$ to find the first five terms of the arithmetic sequence $a_1 = 4 + (1-1)\cdot2 = 4+0\cdot2 = 4$ $a_2 = 4 + (2-1)\cdot2 = 4+1\cdot2 = 6$ $a_3 = 4 + (3-1)\cdot2 = 4+2\cdot2 = 8$ $a_4 = 4 + (4-1)\cdot2 = 4+3\cdot2 = 10$ $a_5 = 4 + (5-1)\cdot2 = 4+4\cdot2 = 12$
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