Answer: n, a positive integer.
- A n, a positive integer
- B x, a real number
- C z, a complex number
- D θ, an angle
Correct answer: A. n, a positive integer
Explanation: Induction applies to statements indexed by a positive integer n.
Mathematical induction works like a row of dominoes: proving the base case P(1) tips the first domino, and proving the inductive step (P(k) ⟹ P(k+1)) guarantees each domino knocks over the next - together these two facts guarantee ALL dominoes fall, without checking each one individually.
Concept context
A proof technique used to establish that a statement is true for every natural number, using a base case and an inductive step.