Answer:
Options A) and E)
Step-by-step explanation:
If you use Ruffini's method for polynomials, you can find the roots.
The given picture shows us the first root of the polynomial wich is 2.
Thus, the original polynomial can be written as
Here, you can notice that (x-2) is a factor
From the recursive rule
it follows that
and so on. Notice how the subscript on a on the right side and the coefficient multiplied by 13 add up to n (n - 2 + 2 = n; n - 3 + 3 = n; and so on). If we continue the pattern, we'll end up with
so that the explicit rule for the n-th term in the sequence is