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: 2

Answer

$3, 13, 23, 33, 43$

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 $a_1 = 3 + (1-1)\cdot10 = 3+0\cdot10 = 3$ $a_2 = 3 + (2-1)\cdot10 = 3+1\cdot10= 13$ $a_3 = 3 + (3-1)\cdot10 = 3+2\cdot10= 23$ $a_4 = 3 + (4-1)\cdot10 = 3+3\cdot10= 33$ $a_5 = 3 + (5-1)\cdot10 = 3+4\cdot10= 43$
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