Answer:
Option A i.e. 8, 3, -2, -7, ... is correct.
Step-by-step explanation:
Let us check the sequence given in option A
[tex]8, 3, -2, -7, . . .[/tex]
An arithmetic sequence has a constant difference '[tex]d[/tex]' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
determine the differences of all the adjacent terms of Arithmetic sequence
[tex]3-8=-5,\:\quad \:-2-3=-5,\:\quad \:-7-\left(-2\right)=-5[/tex]
The difference between all the adjacent terms is the same and equal to
[tex]d=-5[/tex]
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.
