Question

Jika f adalah fungsi linier f(1) = 2000 dan f(x+1) + 12 = f(x), maka nilai f(100) adalah ...

Tolong dijelaskan caranya

Answer 1

F(x + 1) + 12 = f(x) maka
f(x + 1) = f(x) - 12
tinggal cari polanya:
f(2) = f(1) - 12 = f(1) - 1x12
f(3) = f(2) - 12 = (f(1) - 12) - 12 = f(1) - 2x12
f(4) = f(3) - 12 = (f(1) - 2.12) - 12 = f(1) - 3x12
f(x) = f(1) - (x-1)x12
maka
f(100) = f(1) - 99x12 = 2000 - 1188 = 812