Homework Statement
Prove the following. 4+1+4^-1+4^-2...4^-k = 16/3-1/(3)(4^k)
Homework Equations
The Attempt at a Solution
I confirmed the basis step and proceeded by changing the variable to n and adding n+1. I now have (16/3) - (1/(3)(4^k)) + (1/4^k+1) = 16/3 - (1/(3)(4^k+1))...