Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 12 - Section 12.1 - Sequences and Summation Notation - 12.1 Exercises - Page 852: 78

Answer

a. $I_{1}=\$ 0$, $I_{2}=\$ 0.50$, $I_{3}=\$ 1.50$, $I_{4}=\$ 3.01$, $I_{5}=\$ 5.03$, $I_{6}=\$ 7.55$ b. $I_{60}=\$ 977.00$.

Work Step by Step

a. Using our calculator, $I_{n}=100(\displaystyle \frac{1.005^{n}-1}{0.005}-n),$ $I_{1}=\$ 0$, $I_{2}=\$ 0.50$, $I_{3}=\$ 1.50$, $I_{4}=\$ 3.01$, $I_{5}=\$ 5.03$, $I_{6}=\$ 7.55$ b. 5 years = 60 months n=60 $I_{60}=\$ 977.00$.
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