`1/50 - 1/(50xx49)-1/(49xx48)-......-1/(2xx1)`
`=1/50 - (1/(1xx2)+1/(2xx3)+........+1/(49xx50))`
`=1/50 -(1-1/2+1/2-1/3+....+1/49-1/50)`
`=1/50-(1-1/50)`
`=1/50 - (50/50-1/50)`
`=1/50-49/50`
`=-48/50`
`=-24/25`
\(=\dfrac{1}{50}-\left(1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+...+\dfrac{1}{49}-\dfrac{1}{50}\right)\)
\(=\dfrac{1}{50}-1+\dfrac{1}{50}=\dfrac{1}{25}-1=-\dfrac{24}{25}\)
