Which of the following is a geometric sequence?
Question 12 options:

A)

1, 5, 9, 13, 17, ...

B)

5, 1, –3, –7, –11, –15, ...

C)

2, 6, 18, 54, 162, 486, ...

D)

0, 5, 10, 15, 20, ...

Let's start by first remembering what a "geometric sequence" is. A geometric sequence is a sequence of numbers that multiply by the same number each time. For example,

2, 4, 8, 16

is a geometric sequence since each number is multiplied by 2 from one to the next, but

2, 4, 6, 8 

is NOT a geometric sequence. We are adding 2 each time, but not multiplying, so it doesn't count. We have to be multiplying to have a geometric sequence.

[A] Let's look at A, are we multiplying by the same thing? 

6*3 = 18

18*3 = 54

54*3 = 162

162*3 = 486

Yes! We are multiplying by 3 each time. This is a geometric sequence!

[B] Are we multiplying by the same thing?

2*3/2 = 3

3*3/2 = 9/2 which is not 5.

NOPE

[C] Are we multiplying by the same thing?

2*5/2 = 5

5*5/2 = 25/2 which is not 8

NOPE

[D] Are we multiplying by the same thing?

-4*1/2 = -2

-2*1/2 = -1

-1*1/2 = -0.5

-0.5*1/2 = -0.25

-0.25*1/2 = -0.125

Yep, we are multiplying by 1/2 each time! This is a geometric sequence!

hope this help im not sure tho

Step-by-step explanation:

answer: give more info

step-by-step explanation:

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.