Homework Statement
All I am trying to do is the basic mathematical induction routine: n=1, n=k, n=k+1 and how n=k proves n=k+1. The problem I am having is with the algebra.
4+16+64+...+4^{n}=\frac{4}{3}(4^{n}-1)
2. Homework Equations and Attempts
For n=1
4=4 That's OK
For n=k...