jika f fungsi yang memenuhi persamaan f(1)=4 dan f(x-1)=2f(x) tentukanlah f(2014)

jawab

f(1) = 4
f(x-1) = 2. f(x)
f(2-1) = 2 . f(2)
f(2) = 1/2 f(1)
f(2) = 2

f(3-1) = 2. f(3)
f(2) = 2 . f(3)
f(3) = 1/2. f(2)
f(3) = 1

4,2,1,....
a= 4
r = 1/2

u2014 =   4. (1/2)^(2014 -1)
u2014 = 2². (2⁻¹)²⁰¹³
u2014 = 2².2⁻²⁰¹³
u2014 = 2⁻²⁰¹¹
f(2014) = 2⁻²⁰¹¹