SOLUTION: Let f(n) = 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + ... 1/n Find a recursive formula for f(n). Do not forget to include any necessary base case(s).

Algebra ->  Functions -> SOLUTION: Let f(n) = 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + ... 1/n Find a recursive formula for f(n). Do not forget to include any necessary base case(s).       Log On


   

Question 1176881: Let f(n) = 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + ... 1/n
Find a recursive formula for f(n). Do not forget to include any necessary base case(s).
Answer by ikleyn(52748) About Me  (Show Source):
You can put this solution on YOUR website!
.

    f(1) = 1%2F2,

    f(n) = f(n-1) + 1%2F%28n%2B1%29,   n = 2, 3, 4, 5, . . .

Solved.