Use the explicit formula to find a recursive formula for the sequence an. Write your answer in simplest form. The recursive formula should depend on an–1. an= – 17n–10 an=
The explicit formula given is an = -17n - 10.
To find the recursive formula in terms of an-1, we can substitute n = n-1 into the explicit formula:
an-1 = -17(n-1) - 10
an-1 = -17n + 17 - 10
an-1 = -17n + 7
Therefore, the recursive formula for the sequence an in terms of an-1 is:
an = -17n-1 + 7.