Answer
$81$
Work Step by Step
The rule that emerges from the pattern is
$a_{n}=n^{2}$
When n=9,
$a_{9}=9^{2}=81$
There are 81 apples in the 9th layer.
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 12 Sequences and Series - 12.1 Define and Use Sequences and Series - Guided Practice for Examples 2 and 3 - Page 795: 5
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