Question

Find the commom ratio for the following sequence

1/2, -1/4, 1/8, -1/16

Answer 1

Common ratio = -1\2

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 :

`(a_2)/(a_1) , (a_3)/(a_2)`

In The sequence given here : a_1 =1, a_2= -1\4 , a_3 = 1\8 , a_4= -1\16

Common ratio (r) =
`((-1)/(4) )/((1)/(2) )  = (-1)/(2)`