Answer:
227
Explanation:
nth term = a₁ + (n - 1)d
where a1 = first term , n = # of terms and d = common difference.
here we need to solve for the common difference so we can find the missing term, we do so by plugging in what we are given and solving for d
here we are given an nth term, 456 and we are given the first term, -2.
and from what we see there are 3 terms
So we have nth term = 456 , a1 = -2 and n = 3
==> plug these values into the formula
456 = -2 + (3-1)d
==> add 2 to both sides
458 = (3-1)d
==> subtract 1 from 3
458 = 2d
==>divide both sides by 2
d = 229
We then add the common difference to the term before the missing term to get the missing term
-2 + 229 = 227