contestada


Write an equation that models the sequence 400, 200, 100, 50, ...
A) y = 400(2x)
B) y = 50 (2x)
C) y =
1
2
x + 400
D) y = 400(
1
2
)x-1

Respuesta :

Answer:

D

Step-by-step explanation:

The terms of the sequence

400, 200, 100, 50, ...

These are the terms of a geometric sequence with n th term

[tex]a_{n}[/tex] = a[tex](r)^{n-1}[/tex]

where a is the first term and r the common ratio

r = [tex]\frac{200}{400}[/tex] = [tex]\frac{100}{200}[/tex] = [tex]\frac{1}{2}[/tex]

The first term a = 400, hence

y = 400[tex](\frac{1}{2}) ^{x-1}[/tex] → D