Question

what is the meaning of Let pn Thet​

Answer 1

Answer:

Let P(n) be a statement such that truth of P(n)⇒P(n+1) for all n∈N

Now from the statement of the Principle of Mathematical Induction,

we know that if a statement is assumed true for n=k and then if it holds true for n=k+1 and n=1, then the statement is true for all n.

So P(n)⇒P(n+1) is given so for P(n) to be true for all n∈N, P(1) should be true.

But nothing has been stated about P(1). so nothing can be said about the truth of P(n).