3. A set O of numbers is defined recursively by: 1. 1 belongs to O. 2. If x belongs to O, so does 2*x + 1. A. B. Indicate 4 elements of set O What property you can proof by structural induction for all the elements of set O?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.1: Basic Assumptions
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3.
A set O of numbers is defined recursively by:
1. 1 belongs to O.
2. If x belongs to O, so does 2*x + 1.
A.
B.
Indicate 4 elements of set O
What property you can proof by structural induction for all
the elements of set O?
Transcribed Image Text:3. A set O of numbers is defined recursively by: 1. 1 belongs to O. 2. If x belongs to O, so does 2*x + 1. A. B. Indicate 4 elements of set O What property you can proof by structural induction for all the elements of set O?
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