What is the negative (2k + 1) power of 2 minus the negative (2k-1) power of 2 plus the negative 2K power of 2?

What is the negative (2k + 1) power of 2 minus the negative (2k-1) power of 2 plus the negative 2K power of 2?

(2k + 1) = 1 / (2 ^ (2k + 1))
The negative (2k-1) power of 2 = 1 / (2 ^ (2k-1))
The negative 2K power of 2 = 1 / (2 ^ (2k))
Original formula = 1 / (2 * 4 ^ k) - 2 / 4 ^ k + 1 / 4 ^ k
=(1/2)*1/4^k-1/4^k
=-1/(2*4^k)
=-2^-(2k+1)