Determine the common ratio and find the next three terms of the geometric sequence 9,3sqrt3,3

Fourth term: = =

Fifth term: = = 1

Sixth term:

Step-by-step explanation:

The geometric progression is:

The first term, a, is 9

To find the common ratio, r, all we have to do is divide a term by its preceding term.

Let us divide the second term by the first:

That is the common ratio.

Geometric progression is given generally as:

where a = first term

r = common ratio

= nth term

We need to find the 4th, 5th and 6th terms.

Fourth term: = =

Fifth term: = = 1

Sixth term:

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it