Tell whether the sequence is arithmetic. if it is, what is the common difference?

19,11,3,-5

a. no
b. yes; 1/8
c. yes; 8
d. yes; -8

 D. Yes ; -8

Step-by-step explanation:

An arithmetic sequence is given by :-

, where n is a natural number .

Here ,  differences between the successive terms is equal (d).

i.e. Common difference = and so on.

The given sequence : 19,11,3,-5

Since the differences between the successive terms are equal as -8.

So, the given sequence is an Arithmetic sequence with common difference = -8

Hence, the correct answer :  Yes , given sequence is an Arithmetic ; common difference =-8