What is this pattern?

Question

I just started advanced geometry and I am having a little bit of trouble finding the pattern in this.

7, 2, 5, -3, 8, -11

I need to find the next two terms in the pattern.

I would appreciate it as well if there was a little bit of explanation as well.

Thank you!

Answer 1

Take the first number and subtract the second number...

7 - 2 = 5

2 - 5 = -3

5 - (-3) = 8

and so on...

so if you take

8 - (-11) = 19 which is the next number

-11 - 19 = -30

Answer 2

7, 2, 5, -3, 8, -11

Let's look at the first 3 numbers first:

7, -2, 5

7-2 = 5

Now, let's look at the next set of 3 numbers:

2, 5, -3

2-5 = -3

Let's look at one more set:

5, -3, 8

5-(-3) = 5+3 = 8

So, your next two terms should be:

Next term = 8-(-11) = 8+ 11 = 19

2nd next term = -11 - 19 = -30

Answer 3

The difference between two terms are

-5, + 3, - 8, 11, -19

Look at the -5 and + 3, how do we make - 8 ? - 5 subtract 3

Use the same pattern.  3 subtract - 8 = 11

-8 subtract 11 = - 19

Next difference 11 subtract - 19 = 30 --> the number is 19

Next difference -19 subtract 30 = -49 --> the number is -30

So  7, 2, 5, -3, 8, -11, 19, -30

The difference are

-5, + 3, - 8, 11, -19, 30, -49