Question

What is the common ratio of the geometric sequence below?

Answer 1

B. -1/2

Explanation:

The common ratio is the ratio between two numbers next to each other To find the common ratio, divide a term by the preceding term.

For example, if the term is 48, divide by -96.

48/-96 = -1/2

Another example, if the term is -24, divide by 48.

-24/48= -1/2

Let’s try one more example. If the term is 12, divide by -24

12/-24= -1/2

Therefore, the common ratio is 1/2 and the correct answer is B.

Answer 2

The answer is option B

Explanation:

Since it's a geometric sequence, to find the common ratio divide the previous term by the next term.

That's

`(48)/( - 96) = - (1)/(2)`

And also

`( - 24)/(48) = - (1)/(2)`

`(12)/( - 24) = - ( 1)/(2)`

Also

`( - 6)/(12) = - (1)/(2)`

Since the common ratio is the same for any of the terms chosen the common ratio of the sequence is

`- (1)/(2)`

Hope this helps you