1 times 2, 2 times 3, 3 times 4.99 times 100. Calculate the sum of the reciprocal of the first 99 terms

1 times 2, 2 times 3, 3 times 4.99 times 100. Calculate the sum of the reciprocal of the first 99 terms

The original formula = (1-1 / 2) + (1 / 2-1 / 3) + (1 / 3-1 / 4) +. + (1 / 99-1 / 100)
=1-1/100
=99/100