Answer
$s_n=5000(1.08)^{n}$.
Work Step by Step
If the original size was $5000$ and it increases by $8\%$ each hour, then the size can be modeled by:
$s_n=5000(1.08)^{n}$.
Plugging in $n=5$, we get:
$s_5=5000(1.08)^{5}\approx7347~bacteria$.
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter 8, Sequences and Series - Section 8.3 - Geometric Sequences - 8.3 Exercises - Page 616: 90
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