Prove by induction $1+2+2^{2}+...+2^{n-1} =2^{n}-1; \forall n \geqslant 1$

Question

How can I prove by induction the following statement:

$1+2+2^{2}+...+2^{n-1} =2^{n}-1; \forall n \geqslant 1$