Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 14 - Sequences, Series, and the Binomial Theorem - Mid-Chapter Review - Mixed Review - Page 915: 13

Answer

$465 \text{ dollars}$

Work Step by Step

Renata receives one dollar every day. In other words, her earnings form an arithmetic progression. On the first day she has $1$ dollar and on the $30$th day she has $30$ dollars. During $30$ days she earns $S_{30}=\frac{a_1+a_{30}}{2}\cdot 30=\frac{31}{2}\cdot 30=31\cdot15=465$$
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