Answer:
[tex]a_{n}[/tex] = 3 - n
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence, that is
1 - 2 = 0 - 1 = - 1 - 0 = - 1
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = - 1 , thus
[tex]a_{n}[/tex] = 2 - 1(n - 1) = 2 - n + 1 = 3 - n
