Is it even odd?

Number Theory Level pending

Let a series be defined as \[a_0=1\] \[a_n=\frac{n!}{a_{n-1}},n>0\].

Now consider the following statements.

  1. \(a_n\) is an integer for \(n \ge 0\).

  2. \(a_n\) is odd if and only if \(n\) is odd.

  3. \(a_n\) is even, for positive \(n\), if and only if \(n\) is even


Problem Loading...

Note Loading...

Set Loading...