Consider the sequence -2, 6, -18, 54,
Select all the statements that are true for the sequence.

The sequence is arithmetic
The sequence is geometric

The sequence is geometric

Step-by-step explanation:

In an arithmetic sequence, the consecutive terms differ by a common difference and this difference is linear.

Common difference = given term - the term before it

In geometric progression, the consecutive terms differ by a common ratio this difference is exponential.

Common ratio = given term/the term before it

Looking at the given sequence,

1) d = 6 - - 2 is not equal to - 18 - 6

Therefore, it is not an arithmetic sequence

2) r = 6/- 2 = - 18/6 = - 3

Therefore, it is a geometric sequence.

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)