Respuesta :

mhanifa

Answer:

  • 4x/3

Step-by-step explanation:

Let the area of initial square is x, then shaded squares will have area as geometric sequence:

  • x/4, x/16, x/64, ...

The first term is x, the common ratio is 1/4

Sum of infinite GP is:

  • S = a/(1 - r)

By substituting values we get:

  • S = x/(1 - 1/4) = x / (3/4) = 4x/3