Question

Someone please answer this, ill give you brainliest and your getting 100 points.

Answer 1

Answer:

Step-by-step explanation:

First sequence : 10,9.5,9,8.5,...

Let's see the difference between 2 numbers :
10 - 9.5 = 0.5
9.5 - 9 = 0.5
9 - 8.5 - 0.5

So on and so on. So, the common difference between these numbers are 0.5

Next sequence : 200,100,50,25, ...

We see, to get from one number to another, we divide it by 2 / multiply it by 1/2.

200 x 1/2 = 100
100 x 1/2 = 50
50 x 1/2 = 25

So on and so on. So, the common ratio of these numbers are 1/2.

Answer 2

Answer:

Step-by-step explanation:

A common difference is the number you need to get from a chosen number on your left to get to the next number going right.

In the first sequence, you start with 10 on your left.

To get to the next number going right, you need to subtract 0.5 or add - 0.5

In any event, the common difference is -0,5

The second problem is a little  harder. It does not follow the same sort of pattern that the first question does. This time you are multiplying or dividing.

200 * 1/2 = 100

100 * 1/2 = 50

50 *  1/2 = 25

25 *  1/2 = 13.5

So the common ratio is 1/2