Answer:
Option (3)
Step-by-step explanation:
From the given figure,
[tex]a_n=a_1+(n-1)d[/tex]
where [tex]a_n[/tex] = nth term of an arithmetic sequence
[tex]a_1[/tex] = first term of the sequence
n = number of term
d = common difference
When n = 1 : [tex]a_1=-1[/tex]
When n = 2 : [tex]a_2=-6[/tex]
common difference 'd' = -6 - (-1) = -5
Formula for the nth term for the given sequence will be,
[tex]a_n=-1+(n-1)(-5)[/tex]
= -1 - 5n + 5
[tex]a_n[/tex] = 4 - 5n
Now the 12th term of this sequence will be,
[tex]a_{12}=4-5(12)[/tex]
= 4 - 60
= -56
Therefore, Option (3) will be the answer.
