Four students wrote sequences in math class. angela -6,-9,-12,- bradley -2,-6, -12,- carter -1, -3, -9, - dominique -1, -3,-9, - which student wrote a geometric sequence? a)angela b)bradley c)carter d)dominique

c) carter

Remember that A geometric sequence is a sequence where each term after the first is found by multiplying the previous term by a fixed number called the ratio. So to prove if a sequence is geometric, y we just need to verify that the ratio between any tow terms of the sequence is the same.

Now, to find the ratio of a geometric sequence, we use the formula:

is the ratio

is the current term

is the previous term

The formula just mean that we can find the ratio by dividing the current term and the previous term.

Let's apply this to our sequences:

Angela -6,-9,-12,-15,...

Take -9 as the current term and -6 as the previous term, so and ; now let's find the ratio.

Lets check if the ratio hold for the next pair -9 and -12. and , so

The ratio is not the same, so Angela's sequence is not a geometric one.

Bradley -2,-6, -12,-24,...

For -2 and -6

For -6 and -12

The ratio is not the same, so Bradley's sequence is not a geometric one.

Carter -1, -3, -9, -27,...

For -1 and -3

For -3 and -9

For -9 and -27

The ratio is always the same, so Carter's sequence is a geometric one.

Dominique -1, -3,-9, -81,...

For -1 and -3

For -3 and -9

For -9 and -81

The ratio is not the same, so Dominique's sequence is not a geometric one.

carter

Step-by-step explanation:

edg 2020 december 10th

straight angle

Step-by-step explanation: