If f(1) = 6 and f(n + 1) = 3f(n) – 3 then find the value of f(5).

366

Step-by-step explanation:

f(1) = 6

f(2) = f(1+1) = 3f(1)-3 = 3(6)-3 = 15

f(3) = 3(15)-3 = 42

f(4) = 3(42) - 3 = 123

f(5) = 3(123)-3 = 366

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)