Which statement correctly explains Mathematical induction?
Difficulty: Hard
About this MCQ
This Hard Discrete Mathematics question asks: Which statement correctly explains Mathematical induction? The correct choice is A. A proof technique used to establish that a statement holds for all natural numbers by proving a base case and an inductive step.. Read the options below, commit to one, then use the explanation to see why that choice holds and why the others do not.
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- A. A proof technique used to establish that a statement holds for all natural numbers by proving a base case and an inductive step. ✓
- B. A branch of discrete mathematics studying graphs made up of vertices connected by edges.
Why not B: “A branch of discrete mathematics studying graphs made up of vertices connected by edges.” does not fit this question. The answer is A proof technique used to establish that a statement holds for all natural numbers by proving a base case and an inductive step..
- C. An arrangement of objects in a specific order, where order matters.
Why not C: “An arrangement of objects in a specific order, where order matters.” does not fit this question. The answer is A proof technique used to establish that a statement holds for all natural numbers by proving a base case and an inductive step..
- D. A well-defined collection of distinct objects considered as a single entity in mathematics.
Why not D: “A well-defined collection of distinct objects considered as a single entity in mathematics.” does not fit this question. The answer is A proof technique used to establish that a statement holds for all natural numbers by proving a base case and an inductive step..
Correct answer
A. A proof technique used to establish that a statement holds for all natural numbers by proving a base case and an inductive step.
Explanation
A proof technique used to establish that a statement holds for all natural numbers by proving a base case and an inductive step is the term that matches Which statement correctly explains Mathematical induction option A Option B A branch of discrete mathematics studying graphs made up of vertices connected by edges does not fit this question Option C An arrangement of objects in a specific order where order matters does not fit this question Option D A well-defined collection of distinct objects considered as a single entity in mathematics does not fit this question For this Discrete Mathematics question the accepted answer is A proof technique used to establish.
Source: Discrete Mathematics Official Reference Guide
Tags: computer science, discrete mathematics, mathematics, logic
Submitted by: MCQsHub Editorial
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