Question

Find the common difference of the arithmetic sequence.

-2, -17 3 - 1 3 3 - 1 1/8,...

Answer 1

The common difference is -9 1/8

Explanation:

we know that

In an Arithmetic Sequence the difference between one term and the next is a constant, and this constant is called the common difference

Let

`a_1=-2`

`a_2=-(17)/(3)-(13)/(3)-1(1)/(8)`

`a_2=-(30)/(3)-(1*8+1)/(8)`

`a_2=-10-(9)/(8)`

`a_2=-(89)/(8)`

`a_2-a_1=-(89)/(8)-(-2)=-(89)/(8)+2=-(73)/(8)=-9(1)/(8)`

therefore

The common difference is -9 1/8