Respuesta :

mhanifa

Answer:

  • 1/2

Step-by-step explanation:

There are 19 terms according to the numerators (1 through 19).

Each pair of the first 18 terms sum to 1/20:

  • 19/20 - 18/20 = 1/20
  • 17/20 - 16/20 = 1/20
  • ...
  • 3/20 - 2/10 = 1/20

These 18 terms sum to:

  • 9*1/20 = 9/20

Add the last term:

  • 9/20 + 1/20 = 10/20 = 1/2

The overall sum is 1/2