Question 43
Consider the function $f: \mathbb{N} \rightarrow \mathbb{Z}$ satisfying, for all $n \in \mathbb{N}$,
a. $|f(n)|=n$
b. $0 \leq \sum_{k=1}^{n} f(k) \lt 2 n$.
Evaluate $\sum_{n=1}^{2018} f(n)$.
a. $|f(n)|=n$
b. $0 \leq \sum_{k=1}^{n} f(k) \lt 2 n$.
Evaluate $\sum_{n=1}^{2018} f(n)$.