Question

SOMEONE PLEASE HELP ME!!!!! I need to find the next three numbers on this sequence! I can't do this one

Answer 1

Sequences are often either arithmetic or geometric.
Are you familiar with those terms?

Answer 2

Yes.

Answer 3

In an arithmetic sequence, the same number (called the common difference) is added to each number of the sequence to produce the next number.

Answer 4

Can you check if this is an arithmetic sequence?

Answer 5

This is Geometric. Right?

Answer 6

Yes, this is a geometric sequence.
In a geometric sequence, each number is multiplied by the same number (called the common ratio) to produce the next number.
Can you find the common ratio of this sequence?

Answer 7

I don't know how. I am stuck on this one and my brain won't work for me.

Answer 8

It's easier than you think.
Since when you multiply a number by the common ratio you get the next number, if you divide a number by the previous number, you get the common ratio.

Answer 9

Is it 4?

Answer 10

No.
Divide a number by the previous number, not by the next number.

Answer 11

What is 4 divided by 16?
What is 1 divided by 4?
What is 1/4 divided by 1?
etc.
Since this is a geometric sequence, all those divisions will give you the same answer, the common ratio.

Answer 12

4 divided by 16 = .25 =1/4

Answer 13

Correct. All those divisions will give you the same answer, 1/4.
That means 1/4 is the common ratio.
Now when you multiply a number in the sequence by 1/4, you get the next number.

Answer 14

oh okay.

Answer 15

The last number you have given in the sequence is 1/16.
What is the next number?

Answer 16

1/64

Answer 17

Good.
What's the next one?

Answer 18

1/256

Answer 19

Right.
What about the next one?

Answer 20

1/1024

Answer 21

Thank you so much!

Answer 22

Exactly.
See, you did it yourself!
You're welcome.