SOMEONE PLEASE HELP ME!!!!! I need to find the next three numbers on this sequence! I can't do this one
Sequences are often either arithmetic or geometric. Are you familiar with those terms?
In an arithmetic sequence, the same number (called the common difference) is added to each number of the sequence to produce the next number.
Can you check if this is an arithmetic sequence?
This is Geometric. Right?
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?
I don't know how. I am stuck on this one and my brain won't work for me.
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.
Is it 4?
No. Divide a number by the previous number, not by the next number.
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.
4 divided by 16 = .25 =1/4
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.
The last number you have given in the sequence is 1/16. What is the next number?
Good. What's the next one?
Right. What about the next one?
Thank you so much!
Exactly. See, you did it yourself! You're welcome.