12) Define a set S recursively as follows: B. 0Є S R. If x S, then x+3 € S and x-3 € S List six members of the set S and prove that every integer in S is divisible by 3.
12) Define a set S recursively as follows: B. 0Є S R. If x S, then x+3 € S and x-3 € S List six members of the set S and prove that every integer in S is divisible by 3.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:12) Define a set S recursively as follows:
B. 0Є S
R. If x S, then x+3 € S and x-3 € S
List six members of the set S and prove that every integer in S is divisible by 3.
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