Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 13 - Sequences and Series - 13.1 Sequences - Exercises and Problems for Section 13.1 - Exercises and Problems - Page 539: 25

Answer

$101$

Work Step by Step

We know that $a_n=a_1+(n-1)d.$ where $d$=common difference and $a_1$= the first term Hence, here we have $a_n=10+(n-1)\cdot10=10+10n-10=10n-5$ Therefore $10n-5\gt1000\\10n\gt1005\\n\gt100.5$ Thus $n=101$ is the first good number.
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