Mathematics · Number Theory
Which of the following statements represents the Second Principle of Mathematical Induction related to the construction of numbers?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1If a set A contains an integer 1, and contains n+1 whenever it contains an integer n, then A consists of all negative integers.
- 2Every square matrix satisfies its own characteristic equation.
- 3xn + yn = zn for all positive integers n.
- 4If a set A contains an integer 1, and contains n+1 whenever it contains an integer n, then set A consists of all positive integers.✓
Correct answer
If a set A contains an integer 1, and contains n+1 whenever it contains an integer n, then set A consists of all positive integers.
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