Write an explicit formula that represents the sequence defined by the following
recursive formula:
a1= -1 and an = an-1 – 6

an = -6n + 5.

Step-by-step explanation:

This is an arithmetic sequence with first term a1 = -1 and common difference d = -6

an = a1 + d(n-1)

an = -1 + -6(n - 1)

an = -1 -6n + 6

an = -6n + 5.