Question

input 3,6,9,12 output 9,15,21,27 what function rule produces the out puts

Answer 1

let it is the function of f(n) = pn + q
when f(3) = 9 it means 3p + q =9
when f(6) = 15 it means 6p + q = 15

subtract both equations above, get
6p + q = 15
3p + q =9
------------ (-)
3p = 6
p = 6/3 = 2

subtitute p=2 into one of equation, get
3p + q =9
3(2) + q = 9
6 + q = 9
q = 9 - 6
q = 3

so, the general formula of f(n) = pn + q = 2n + 3

Answer 2

hanks

Answer 3

welcome ;)

Answer 4

:)