Write the explicit formula for the arithmetic sequence. 2, -2, -6, -10, -14, a)an  = 5 - 3nb)an  = 6 - 4nc)an  = 8 - 6nd)an  = 10 - 8n

Given from the question
arithmetic sequence
a₁ = 2
a₂ = -2
a₃ = -6
and so on..

First, find the difference of the sequence
d = a₂ - a₁
d = -2 - 2
d = -4

Second, built the formula
General formula
an = a₁ + d(n - 1)

plug the numbers to the general formula
an = a₁ + d(n - 1)
an = 2 -4(n - 1)
an = 2 - 4n + 4
an = 2 + 4 - 4n
an = 6 - 4n

The answer is option B