Question

Jika f(n+1)=f(n)+1/2 untul n=1,2,3,...dan f(1)=2 maka f(101) adalah

Answer 1

F(n + 1) = f(n) + 1/2

kita masukan dulu nilai n = 1, 2, 3, ....

f(1+1) = f(1) + 1/2
f(2) = f(1) + 1/2

f(2+1) = f(2) + 1/2
f(3) = f(1) + 1/2 + 1/2
f(3) = f(1) + 2(1/2)

f(4) = f(3) + 1/2
f(4) = f(1)  + 2(1/2) + 1/2
f(4) = f(1) + 3(1/2)

f(5) = f(4) + 1/2
f(5) = f(1) + 3(1/2) + 1/2
f(5) = f(1) + 4(1/2)

dst...

maka, untuk f(101)

f(101) = f(1) + 100(1/2)
= f(1) + 50
= 2 + 50
= 52