Question

Please help.
Which one would it be and why?

Answer 1

b

Explanation:

calculate the common ratio r for each sequence

(a)

r =
`(a_(2) )/(a_(1) )` =
`((5)/(2) )/((1)/(2) )` = 5 > 1

(b)

r =
`(-500)/(1000)` = -
`(1)/(2)` < 1

(c)

r =
`(-3)/(1)` = - 3 < 0

(d)

r =
`(0.5)/(0.25)` = 2 > 1

the only sequence with | r | < 1 is b