64, -48, 36, -27 which formula can be used to describe the sequence

A sequence is either arithmetic or geometric. The given sequence is geometric and the formula is

First, we determine if the sequence is arithmetic or geometric.

An arithmetic sequence has a common difference (d) and it is calculated as follows:

or

So, we have:

The 2 values of d are not equal; So, the sequence is not arithmetic.

Next, we check if it is geometric.

A geometric sequence has a common ratio (r) and it is calculated as follows:

or

So, we have:

The 2 values of r are equal; So, the sequence is geometric.

The formula of a geometric sequence is:

Where:

--- the first term

--- the common ratio

So, we have:

Apply law of indices

Rewrite as:

Apply reciprocals

Hence, the formula to describe the sequence is:

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 Formula      Multiply the number by  -3/4

The number 48 is 3/4 of 64 but it is negative so the result of -48 should be multiplying 64 by negative 3/4

64x-3/4 =-48

after 48 will be a positive number since (-)x(-)=(+)

So it will be alternating positive and negative

the answer is d

the answer is in the first quadrant, which make the y-int positive.

since the dots are going down, therefore the correlation is negative

i hope it is right.

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.