Is there any way to show that an equation of this form splits?

Question

If I have this exact sequence $\mathbb{Z}^2 \rightarrow B \rightarrow \mathbb{Z}^n\rightarrow \mathbb{Z}$, does it split? If so how do I know.

Answer 1

hint: you could replace the sequence by $Z^2 \to B \to ker(Z^n \to Z) \to 0$