Question

POTRZEBUJĘ NA DZISIAJ.;D

Liczby 5,x,y, tworzą ciąg geometryczny . Oblicz x i y

Answer 1

a1 = 5

a2 = x

a3 = y

a4 = 8/25

 

an = a1 * q^(n - 1)

a4 = 5 * q^(4 - 1)

8/25 = 5 * q^3 

8/25 * 1/5 = ^3

8/125 = q^3

q^3 = (2/5)^3

q = 2/5

 

a2 = x = a1 * q = 5 * 2/5 = 2

a3 = y = a1 * q^2 = 5 * (2/5)^2 = 5 * 4/25 = 4/5