Find the common ratio for this geometric sequence

A

Step-by-step explanation:

The common ratio of a geometric sequence is found by dividing any term (after the first term) by the term before it.

Let's take the 2nd term, 2, and divide it by the previous term, which is 8.

So

Thus, the common ratio = 1/4

Choice A is right.

The correct answer option is A. 1/4.

Step-by-step explanation:

In a geometric sequence, the common ratio is found by dividing a term by its preceding term.

For the following given geometric sequence, we can find the common ratio by dividing the second term by the first one or by dividing the 3rd or 4th term by their respective preceding terms.

Common ratio =

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: