Question

HELP ASAP LINEAR EQUATIONS

Answer 1

Option (3)

Explanation:

From the given figure,

`a_n=a_1+(n-1)d`

where
`a_n` = nth term of an arithmetic sequence

`a_1` = first term of the sequence

n = number of term

d = common difference

When n = 1 :
`a_1=-1`

When n = 2 :
`a_2=-6`

common difference 'd' = -6 - (-1) = -5

Formula for the nth term for the given sequence will be,

`a_n=-1+(n-1)(-5)`

= -1 - 5n + 5

`a_n` = 4 - 5n

Now the 12th term of this sequence will be,

`a_(12)=4-5(12)`

= 4 - 60

= -56

Therefore, Option (3) will be the answer.