Question

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

Answer 1

C

Explanation:

The relationship is linear and of the form

y = mx + c

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (3, 1 ) and (x₂, y₂ ) = (5, 5) ← 2 ordered pairs from the table

m =
`(5-1)/(5-3)` =
`(4)/(2)` = 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

`a_(n)` = 2n - 5 → C