I'm working on an induction problem, but can't show my work for simplifying this equation:

1 - (1/2)^k + 1/2^(k+1) --------> Simplify ---------> 1 - (1/2)^(k + 1)

I'm just assuming that's what it simplifys to. Can someone show me the work for this with the right answer if it's wrong.

/////////////////////////////////////////////////////HAPPY THANKSGIVING//////////////////////////////////////////////////////////