Answer:
Common ratio = -1\2
Step-by-step explanation:
Common ratio is referred to as the ratio by which the sequence is attaining its next value.
In a sequence say, a_1,a_2,a_3...a_n the common ratio is calculated by :
[tex]\frac{a_2}{a_1} , \frac{a_3}{a_2}[/tex]
In The sequence given here : a_1 =1, a_2= -1\4 , a_3 = 1\8 , a_4= -1\16
Common ratio (r) = [tex]\frac{\frac{-1}{4} }{\frac{1}{2} } = \frac{-1}{2}[/tex]
