What does the term 'mathematical induction' refer to?

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Question: What does the term \'mathematical induction\' refer to?

Options:

Correct Answer: A method for proving statements about natural numbers

Solution:

Mathematical induction is a method used to prove statements about natural numbers, establishing the truth for all integers.

What does the term 'mathematical induction' refer to?

What does the term 'mathematical induction' refer to?

Step 1: Understand that mathematical induction is a way to prove something is true for all natural numbers (like 1, 2, 3, ...).
Step 2: The process starts by proving the statement is true for the first natural number, usually 1.
Step 3: Next, assume the statement is true for some natural number 'k'. This is called the 'induction hypothesis'.
Step 4: Then, prove that if the statement is true for 'k', it must also be true for 'k + 1'.
Step 5: If both steps 2 and 4 are completed, you can conclude that the statement is true for all natural numbers.

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