Question

A=(1+1/2).(1+1/3). ... .(1+1/2020)

Answer 1

`A=\left(1+(1)/(2)\right)\cdot \left(1+(1)/(3)\right)\cdot\ldots\cdot \left(1+(1)/(2020)\right)=(3)/(2)\cdot(4)/(3)\cdot\ldots\cdot (2021)/(2020)=((2021!)/(2))/(2020!)=\\\\=(2021)/(2)=1010.5`