Question

Porfavor ayuda en esto unu​

Answer 1

Respuesta:

∞        k  

∑ (4/5)  = 4

k = 1

Explicación paso a paso:

     ∞        k  

x = ∑ (4/5)

     k = 1

x = (4 / 5) + (4 / 5)² + (4 / 5)³ + (4 / 5)⁴ ............∞

x = (4 / 5) + (4 / 5)[(4 / 5) + (4 / 5)² + (4 / 5)³ + ............∞]

x = (4 / 5) + (4 / 5)[x]

x = 4 / 5 + 4x / 5

x - 4x / 5 = 4 / 5

(5x - 4x) / 5 = 4 / 5

(x) / 5 = 4 / 5

x = 4