logic - Proving by Mathematical Induction

Prove the following by mathematical induction

Let {${s_{n}}$} be the sequence defined by $s_{0}=\frac{\pi}{4}$ and $\forall{n}\geq1$, $s_{n}=s_{n-1}+\pi$.

Show: $\forall{n}\geq0$, $s_{n}=\frac{4n+1}{4}\pi$.

I think I should first show that $\forall{n}\geq1$, $s_{n}=s_{n-1}+\pi$ is just the same as $\forall{n}\geq0$, $\frac{4n+1}{4}\pi$, before I can proceed in proving $\forall{n}\geq0$,$s_{n}=\frac{4n+1}{4}\pi$ by mathematical induction. However, I had a hard time in showing that the two are just equivalent and with that, I can't start proving the latter.