Answer:
The common difference is -9 1/8
Step-by-step 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
[tex]a_1=-2[/tex]
[tex]a_2=-\frac{17}{3}-\frac{13}{3}-1\frac{1}{8}[/tex]
[tex]a_2=-\frac{30}{3}-\frac{1*8+1}{8}[/tex]
[tex]a_2=-10-\frac{9}{8}[/tex]
[tex]a_2=-\frac{89}{8}[/tex]
[tex]a_2-a_1=-\frac{89}{8}-(-2)=-\frac{89}{8}+2=-\frac{73}{8}=-9\frac{1}{8}[/tex]
therefore
The common difference is -9 1/8
