Question

porfa hagan la 27. es urgente

Answer 1

Respuesta:

d) 2

Explicación paso a paso:

Nombrar:

a = [2 / 5 + 2 / 25 + 2 / 125 +....]

b = [3 / 2 + 3 / 4 + 3 / 8 + .....]

S = a⁻ᵇ

Factorizar:

a = [2 / 5 + (1 / 5) [2 / 5 + 2 / 25 +....]]

a = [2 / 5 + (1 / 5) a]

a = 2 / 5 + a / 5

a - a / 5 = 2 / 5

(5a - a) / 5 = 2 / 5

4a / 5 = 2 / 5

2a = 1

a = 1 / 2

Factorizar:

b = [3 / 2 + 3 / 4 + 3 / 8 + .....]

b = [3 / 2 + (1 / 2)[3 / 2 + 3 / 4 + .....]]

b = [3 / 2 + (1 / 2)b]

b = 3 / 2 + b / 2

b - b / 2 = 3 / 2

(2b - b) / 2 = 3 / 2

b / 2 = 3 / 2

b = 3

Reemplazar:

S = a⁻ᵇ

S = (1 / 2)⁻³

S = (2)³

S = 8

∛S = ∛8

∛S = ∛2³

∛S = 2