Math Problem Statement
Suppose you know the following about a statement P(n) . P(4) , P(8) and P(12) are all true. P(1) and P(3) are false. For all integers k≥5 , 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 ?
Solution
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Math Problem Analysis
Mathematical Concepts
Mathematical Induction
Recursive Statements
Formulas
-
Theorems
Principle of Mathematical Induction
Suitable Grade Level
Grades 10-12
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