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Suppose you know the following about a statement P(n). P(5), P(7) and P(11) are all true. • P(2) and P(4) are false. • For all integers k ≥ 6, if P(k) is true then P(k+ 1) is true. What is the smallest integer x for which you can be sure that P(n) is true for all integers n ≥ x? ● Answer:

Suppose you know the following about a statement P(n). P(5), P(7) and P(11) are all true. • P(2) and P(4) are false. • For all integers k ≥ 6, if P(k) is true then P(k+ 1) is true. What is the smallest integer x for which you can be sure that P(n) is true for all integers n ≥ x? ● Answer:

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 49E: Show that if the statement is assumed to be true for , then it can be proved to be true for . Is...
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Suppose you know the following about a statement P(n). • P(5), P(7) and P(11) are all true. • P(2) and P(4) are false. • For all integers k ≥ 6, if P(k) is true then P(k+ 1) is true. What is the smallest integer x for which you can be sure that P(n) is true for all integers n ≥ x? Answer:
Transcribed Image Text:Suppose you know the following about a statement P(n). • P(5), P(7) and P(11) are all true. • P(2) and P(4) are false. • For all integers k ≥ 6, if P(k) is true then P(k+ 1) is true. What is the smallest integer x for which you can be sure that P(n) is true for all integers n ≥ x? Answer:
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