Answer:
[tex]a_{n}[/tex] = 103 - 3n
Step-by-step explanation:
there is a common difference between consecutive terms , that is
97 - 100 = 94 - 97 = 91 - 94 = - 3
This indicates the sequence is arithmetic with explicit equation
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 100 and d = - 3 , then
[tex]a_{n}[/tex] = 100 - 3(n - 1) = 100 - 3n + 3 = 103 - 3n
