Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 12 - Review - Exercises - Page 890: 25

Answer

$5$

Work Step by Step

$a_{n}=a+\left( n-1\right) d\Rightarrow $ $a_{4}=a+\left( 4-1\right) d=a+3d;$ $a_{6}=a+\left( 6-1\right) d=a+5d$ $a_{6}-a_{1}=a+5d-\left( a+3d\right) =2d=17-11\Rightarrow d=3$ $a_{4}=a+3d=a+3\times 3=11\Rightarrow a=2$ $a_{2}=a+\left( 2-1\right) d=a+d=2+3=5$
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