Forward Difference of Power/Corollary

Corollary to Forward Difference of Power

$\Delta 2^x = 2^x$

where $\Delta$ denotes the forward difference operator.

Proof

\(\ds \Delta 2^x\)

\(=\)

\(\ds \paren {2 - 1} 2^x\)

Forward Difference of Power

\(\ds \)

\(=\)

\(\ds 2^x\)

$\blacksquare$