A geometric sequence is shown below:

(blank) a0, - 11, 22, (blank) a1, 88, - 176.

A) What is the common ratio for this geometric sequence?

(blank) a2

B) What are the missing terms in the geometric sequence shown above?

i)

-2

ii)

a0 = 5.5

a1 = - 44

Step-by-step explanation:

i)

Given a geometric sequence, the common ratio is the ratio between any two adjacent values. In our case we have the following geometric sequence;

a0, - 11, 22, a1, 88, - 176

To find the common ratio we can simply divide 22 by - 11 or divide - 176 by 88;

common ratio = 22 / (-11) = - 2

ii)

To find a0, we use the common ratio;

(-11) / a0 = - 2

a0 = (-11) / (-2)

a0 = 5.5

We do the same for a1;

88/a1 = - 2

a1 = 88 / (-2)

a1 = - 44