Question

How would you explain the Principle of Mathematical Induction to a friend?

Short answer

Concept of Principle of Mathematical Induction is a method of solving statements involving natural numbers is true for all natural numbers.

Step-by-step solution

Step 1. Given information

The Principle of Mathematical Induction to a friend is to be explained.

Step 2. Explain principle of mathematical induction.

Concept of Principle of Mathematical Induction is a method of solving statements involving natural numbers is true for all natural numbers. This can be done by taking 2 conditions into consideration and prove them to be true. They are:

i. The statement is true for the natural number 1

ii. If the statement is true for some natural number k, it is also true for the next natural number k + 1.

Then the statement is true for all natural numbers.