Question

Find the common difference of the arithmetic sequence. -2, -17 3 - 1 3 3 - 1 1/8,...

Answer 1

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

$a_1=-2$

$a_2=-\frac{17}{3}-\frac{13}{3}-1\frac{1}{8}$

$a_2=-\frac{30}{3}-\frac{1*8+1}{8}$

$a_2=-10-\frac{9}{8}$

$a_2=-\frac{89}{8}$

$a_2-a_1=-\frac{89}{8}-(-2)=-\frac{89}{8}+2=-\frac{73}{8}=-9\frac{1}{8}$

therefore

The common difference is -9 1/8