Where principle of mathematical induction is use in day to day life ?

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Solution

Let us just assume that you have 90 friends. You asked this interesting question. Your first friend also asks this question, because you asked. Your third friend also asked this question because you, and your first friend asked this question. Now what I will assume ? I will assume that if you have n friends all of them will surely ask this question. Then, it will mean that your (n+1)th friend will also ask this question. It could happen in real life.
Let us another example: I am going on long trip in my car and I know that there are petrol banks situated at 20 km distance uniformly. As I reach the first petrol bank, my fuel gets over and I fill it. Then I travel further and reach 2nd petrol pump. Same thing happens again and again I fill up the tank. Now I can safely say that as I reach nth petrol bank, I will need petrol and can fill up. This means that n + 1 th petrol bank is available to me to fill up my car and my car will need the petrol at that time. Since, the pattern is repeated and proved for n =1 and n =2 and assumed that it is true for n = n, it can be proved that it is true for n = n + 1 and my theory is established.

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