Answer:
Option 2: Yes, d= 5 is the correct answer
Step-by-step explanation:
An arithmetic sequence is a sequence where the common difference between the consecutive terms is same.
Given arithmetic sequence is:
-14, -9, -4, 1, 6
To check if it is an arithmetic sequence, we have to find the common difference d
[tex]a_1 = -14\\a_2 = -9\\a_3 = -4\\a_4 = 1[/tex]
Now,
[tex]d = a_2-a_1 = -9-(-14) = -9+14 = 5\\d = a_3 - a_2=-4-(-9) = -4+9 = 5\\d = a_4-a_3 = 1-(-4) = 1+4 = 5[/tex]
As the common difference is same, the given sequence is an arithmetic sequence.
Hence,
Option 2: Yes, d= 5 is the correct answer
