If the sum of the series
\(\left(\frac{1}{2}-\frac{1}{3}\right)+\left(\frac{1}{2^2}-\frac{1}{2.3}+\frac{1}{3^2}\right)+\)
\(\left(\frac{1}{2^3}-\frac{1}{2^2.3}+\frac{1}{2.3^2}-\frac{1}{3^3}\right)+\)
\(\left(\frac{1}{2^4}-\frac{1}{2^3.3}+\frac{1}{2^2.3^3}-\frac{1}{2.3^3}+\frac{1}{3^4}\right)+...\) is α/β , where a and b are co-prime, then α + 3β is equal to….
