Functions Q3

The function \(\mathrm{f}\) satisfies the following three relationships

   i.         \(\mathrm{f}\left( 3n-2 \right)\equiv \mathrm{f}\left( 3n \right)-2\), \(n\in \mathbb{N}\).

  ii.        \(\mathrm{f}\left( 3n \right)\equiv \mathrm{f}\left( n \right)\), \(n\in \mathbb{N}\).

 iii.        \(\mathrm{f}\left( 1 \right)=25\).

Determine the value of \(\mathrm{f}\left( 25 \right)\).