Question

Application of mathematical induction in daily life?

Answer 1

Answer:

Mathematical induction is a method of mathematical proof typically used to establish that a given statement is true of all natural numbers.

The method can be extended to prove statements about more general well-founded structures, such as trees; this generalization, known as structural induction, is used in mathematical logic and computer science.

Indeed, the validity of mathematical induction is logically equivalent to the well-ordering principle.

Note: The above text is excerpted from the Wikipedia article "Mathematical induction", which has been released under the GNU Free Documentation License.

Answer 2

Answer:

• First standard example is falling dominoes. In a line of closely arranged dominoes, if the first domino falls, then all the dominoes will fall because if any one domino falls, it means that the next domino will fall, too.

In brief:

• When the very first domino topples, it will lean against the second domino and make it fall.
• Ensure that each domino will hit the domino next to it and that each hit makes a domino fall.
• If conditions (1) and (2) are satisfied, then all the dominoes will fall, proving the principle of mathematical Induction.