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

B)an = 6 - 4n

Step-by-step explanation:Explicit Formula:

Explicit Formula: an = a1 + (n – 1)d

a1 = 2, d = -4

an = 2 + (n – 1)(-4) = 6 - 4n

\table[[x,y],[0,-3],[1,-1],[2,1],[3,3],[4,5]]

step-by-step explanation: