contestada

I
Using the Table below match the explicit equation. Only type in letter
answers!
х
3
5
7
9
у
1
5
9
13
В.
an = 2n - 4
C. an - 2n - 5
D.
A. an = 3n+1
an = 2n - 5
E. None of the choices

I Using the Table below match the explicit equation Only type in letter answers х 3 5 7 9 у 1 5 9 13 В an 2n 4 C an 2n 5 D A an 3n1 an 2n 5 E None of the choice class=

Respuesta :

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

Otras preguntas