Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 12 - Section 12.2 - Arithmetic Sequences - 12.2 Exercises - Page 857: 46

Answer

$a_{5}=1150$

Work Step by Step

$a_{n}=a+\left( n-1\right) d\Rightarrow a_{100}=a+\left( 100-1\right) \times \left( -20\right) =-750\Rightarrow a=99\times 20-750=1230$ $d=-20$ $a_{n}=a+\left( h-1\right) \times d\Rightarrow a_{5}=a+\left( 5-1\right) d=1230-80=1150$
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