Which of the following is an arithmetic sequence with common difference –5? 8, 3, –2, –7, . . .

B)

0, 5, 10, 15, . . .

C)

5, 25, 125, 625, . . .

D)

5, –25, 125, –625, . . .

Option A i.e. 8, 3, -2, -7, ... is correct.

Step-by-step explanation:

Let us check the sequence given in option A

An arithmetic sequence has a constant difference '' and is defined by  

determine the differences of all the adjacent terms of Arithmetic sequence

The difference between all the adjacent terms is the same and equal to

Therefore, we conclude that the arithmetic sequence 8, 3, -2, -7, ... has a common difference -5.

Hence, option A i.e. 8, 3, -2, -7, ... is correct.