What is the common ratio between successive terms in the sequence? 1

27, 9, 3, 1,

3.927

27

Question:

What is the common ratio between successive terms in the sequence?

27, 9, 3, 1

common ratio =

Step-by-step explanation:

In a geometric progression, the common ratio, r, is the ratio of a term in the sequence to a preceding term in that same sequence. In other words, the common ratio is found by dividing a term by the term just before it. For example, if the geometric sequence is:

a, b, c, d...

The common ratio is found by any of the following;

r =        ----------(i)

r =        -----------(ii)

r =        ------------(iii)

Any of equations (i) through (iii) will give the common ratio of the sequence.

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Now, from the question, the given sequence is;

27, 9, 3, 1

To get the common ratio, just divide the second term (9) by the first term (27) i.e

r = =

OR

You can also divide the third term (3) by the second term (9). i.e

r = =

OR

You can choose to divide the fourth term (1) by the third term (3). i.e

r =

Which ever adjacent terms you choose gives you the same result. Therefore, the common ratio of the given sequence is

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?