Seudónimo Seudónimo

02-07-2021
Mathematics

contestada

please help me in math

please help me in math class=

Respuesta :

mhanifa mhanifa

06-07-2021

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

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