Respuesta :
Answer:
[tex]5,~ -10,~ 20,~ -40[/tex]
.
Step-by-step explanation:
Geometric sequence
[tex]Un = ar^{n - 1}[/tex]
.
We know that
a = 5 and r = -2
.
So
[tex]U_1 = 5(-2)^{1 - 1} = 5(-2)^0 = 5[/tex]
[tex]U_2 = 5(-2)^{2 - 1} = 5(-2)^1 = -10[/tex]
[tex]U_3 = 5(-2)^{3 - 1} = 5(-2)^2 = 20[/tex]
[tex]U_4 = 5(-2)^{4 - 1} = 5(-2)^3 = -40[/tex]
.
Happy to help :)