The statement P1 says that 61 1 6 1 5 is divisible by 5 which is true. In the world of numbers we say. Mathematical induction allows us to prove statements that depend on a natural number to be true for all natural numbers.
There is a pitfall to avoid here.
Here is a more reasonable use of mathematical induction. There is a pitfall to avoid here. N 1 means the first value of the expression on the left side. Show that given any positive integer n n n3 2n n 3 2 n yields an answer divisible by 3 3.