MathDB

2008 PUMaC Algebra A5 / B8

Source:

September 24, 2019

algebra

Problem Statement

Let

H_k =\Sigma_{i=1}^k \frac{1}{i}

for all positive integers

k

. Find an closed-form expression for

\Sigma_{i=1}^k H_i

in terms of

n

and

H_n