Question

\((^1/1+2) + (^1/1+2+3) + (^1/1+2+3+4) +...+(^1/1+2+3+4+...+99) + (^1/50)\)

Answer 1

= 2*(1/1 - 1/2 + 1/2 - ...... - 1/100)  + 1/50

= 2*(1 - 1/100) + 1/50

= 2*99/100 + 1/50

= 99/50 + 1/50 = 2

Answer 2

= 2*(1/1 - 1/2 + 1/2 - ...... - 1/100)  + 1/50

= 2*(1 - 1/100) + 1/50

= 2*99/100 + 1/50

= 99/50 + 1/50 = 2