Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
(1) Let \( S \) be the smallest set of positive integers such that (a) \( 2 \) is in \( S \), (b) \( n \) is in \( S \) whenever \( n^2 \) is in \( S \), and (c) \( (n+5)^2 \) is in \( S \) whenever \( n \) is in \( S \). Which positive integers are not in \( S \)?
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Transcribed Image Text:(1) Let \( S \) be the smallest set of positive integers such that (a) \( 2 \) is in \( S \), (b) \( n \) is in \( S \) whenever \( n^2 \) is in \( S \), and (c) \( (n+5)^2 \) is in \( S \) whenever \( n \) is in \( S \). Which positive integers are not in \( S \)?
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