Respuesta :

mhanifa

Answer:

  • 5/4

Step-by-step explanation:

Given infinite geometric series

  • 1/4, 1/5, 4/25, 16/125, ...

We see that

  • a = 1/4
  • r = 4/5

Sum of the series

  • S = a*1/(1 -r)
  • S = 1/4*1/(1 - 4/5) = 1/4*1/(1/5) = 1/4*5 = 5/4

Answer:5/4

Step-by-step explanation: