True or false? Induction is a kind of thinking you use to form general ideas and rules based on mathematical formulas.A.TrueB.FalseSUBMITarrow_backPREVIOUS
Question
True or false?
Induction is a kind of thinking you use to form general ideas and rules based on mathematical formulas.
A. True
B. False
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Solution
Answer: True
Induction is indeed a method of reasoning used to derive general principles from specific observations or cases. In mathematics, this often refers to mathematical induction, which is a technique used to prove that a statement holds for all natural numbers by first showing it is true for the base case (usually 1), and then demonstrating that if it holds for an arbitrary case , it must also hold for . Thus, the statement that "induction is a kind of thinking you use to form general ideas and rules based on mathematical formulas" accurately describes the essence of inductive reasoning in mathematics.
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