Answer:
4th option
Step-by-step explanation:
A recursive formula allows a term in the sequence to be found by adding the common difference d to the previous term
d = a₂ - a₁ = [tex]\frac{19}{4}[/tex] - 4 = [tex]\frac{19}{4}[/tex] - [tex]\frac{16}{4}[/tex] = [tex]\frac{3}{4}[/tex]
The recursive formula is then
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + [tex]\frac{3}{4}[/tex] ; a₁ = 4
