Pertanyaan

Which of the following statements is correct about the Principle of Mathematical Induction? A A It is used to prove statements are true for a finite set of natural numbers B B It is a method I to prove that a statement is true for all natural numbers ngeqslant 1 C It is used to prove inequalities for real

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Jawaban

The correct answer is **B**.The Principle of Mathematical Induction is a method used to prove that a statement is true for all natural numbers greater than or equal to a specific starting point (usually 1). Option A is incorrect because induction proves statements for an *infinite* set of natural numbers. Option C is incorrect because while induction can be used in proofs involving inequalities, it's not limited to them; it's a general method for proving statements about natural numbers.