\(D=\dfrac{1}{2}-\dfrac{1}{2^4}+\dfrac{1}{2^7}-\dfrac{1}{2^{10}}+....+\dfrac{1}{2^{55}}-\dfrac{1}{2^{58}}\\ \Rightarrow2^3D=\dfrac{1}{2^4}-\dfrac{1}{2^7}+\dfrac{1}{2^{10}}-\dfrac{1}{2^{13}}+...+\dfrac{1}{2^{58}}-\dfrac{1}{2^{61}}\\ \Rightarrow8D+D=\dfrac{1}{2}-\dfrac{1}{2^{61}}\\ \Rightarrow9D=\dfrac{1}{2}-\dfrac{1}{2^{61}}\\ \Rightarrow D=\dfrac{\dfrac{1}{2}-\dfrac{1}{2^{61}}}{9}\)