Answer
Fill the blanks with
... natural numbers ...
... P(1) ...
Work Step by Step
(see p. 875, Principle of Mathematical lnduction)
For each natural number $n$, let $P(n)$ be a statement that depends on $n$.
Suppose that each of the following conditions is satisfied.
1. $P(1)$ is true.
2. For every natural number $k$,
if $P(k)$ is true, then $P(k+1)$ is true.
Then $P(n)$ is true for all natural numbers $n$.
----------
Fill the blanks with
... natural numbers ...
... P(1) ...