Answer:
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 3 with a₁ = 14
Step-by-step explanation:
The explicit formula for an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference, then
[tex]a_{n}[/tex] = 14 + (n - 1)3
has a₁ = 14 and d = 3
A recursive formula allows a term in the sequence to be found by adding d to the previous term, thus recursive formula is
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 3 , with a₁ = 14
