Step-by-step explanation:
The nth term of an arithmetic sequence is:
an = a₁ + d (n − 1)
where a₁ is the first term and d is the common difference.
Here, the explicit formula is:
an = 2 − 5 (n − 1)
Therefore, a₁ = 2 and d = -5. So the recursive formula is:
a₁ = 2
an = an₋₁ − 5
