Answer:
C
Step-by-step explanation:
The relationship is linear and of the form
y = mx + c
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 1 ) and (x₂, y₂ ) = (5, 5) ← 2 ordered pairs from the table
m = [tex]\frac{5-1}{5-3}[/tex] = [tex]\frac{4}{2}[/tex] = 2 , then
y = 2x + c
To find c substitute any ordered pair from the table
Using (7, 9 ) , then
9 = 14 + c ⇒ c = 9 - 14 = - 5
y = 2x - 5 , that is
[tex]a_{n}[/tex] = 2n - 5 → C
