Answer:
[tex]a_1 = 94 \\ a_n = a_ {n - 1} - 7[/tex]
Step-by-step explanation:
The given arithmetic sequence is 94, 87, 80, 73,...
The first term is
[tex]a_1=94[/tex]
The common difference is
[tex]d = 87 - 94[/tex]
[tex]d = - 7[/tex]
The recursive formula is given by:
[tex]a_n = a_ {n - 1} + d[/tex]
We substitute the common difference to obtain:
[tex]a_n = a_ {n - 1} - 7[/tex]
