Question

Which formula defines the sequence f(1)=2, f(2)=6, f(3)= 10, f(4)= 14,f(5)=18

Answer 1

Answer:

y=4x-2

Step-by-step explanation:

for every 1 unit increase in x, y values change by a factor of four units

slope=4x

f(x)=y

y=mx+b

2=4(1)+b

b=-2

equation= y=4x-2

CHECK

6=4(2)-2

6=8-2

6=6

CORRECT

10=4(3)-2

10=10

CORRECT

alternatively... (y2-y1)/(x2-x1)

(6-2)/(2-1)= (4)/(1)

slope=4