Answer:
Option (d) is correct.
The common difference in the following arithmetic sequence is 11.
Step-by-step explanation:
Given sequence,
n [tex]a_n[/tex]
1 -12
2 -1
3 10
4 21
We have to find the common difference of the given arithmetic sequence,
Common difference of an arithmetic sequence can be find by subtracting the term from the term preceding it.
[tex]a_1=-12,\ a_2 =-1,\ a_3=10,\ a_4=21[/tex]
Finding difference between the terms,
[tex]a_2-a_1=-1-(-12)=-1+12=11\\\\a_3-a_2=10-(-1)=10+1=11[/tex]
Thus, the common difference in the following arithmetic sequence is 11.
Hence, option (d) is correct.
