Mathematics - Complex Number Question with Solution | TestHub

If $(1+\mathrm{i})(1+2\mathrm{i})(1+3\mathrm{i})\dots ..(1+\mathrm{ni})=\alpha +\mathrm{i}\beta$, then $2\cdot 5\cdot 10\dots ..\left(1+{\mathrm{n}}^2\right)$ is equal to (where $\alpha ,\beta ,n\in R$ )