Answer:
[tex]a_{n}[/tex] = 1.3n - 4.7
Step-by-step explanation:
There is a common difference d between consecutive terms
d = - 2.1 - (- 3.4) = - 0.8 - (- 2.1) = 0.5 - (- 0.8) = 1.8 - 0.5 = 1.3
This indicates the sequence is arithmetic with nth term ( explicit rule )
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3.4 and d = 1.3 , then
[tex]a_{n}[/tex] = - 3.4 + 1.3(n - 1) = - 3.4 + 1.3n - 1.3 = 1.3n - 4.7
A recursive rule allows a term in the sequence to be found by adding d to the previous term, that is
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 1.3 : a₁ = - 3.4
