A Fractional Periodicity

Algebra Level 3

\[ \large f(x) = \lfloor x\rfloor + \lfloor 2x\rfloor + \lfloor 3x\rfloor + \cdots + \lfloor nx\rfloor - \dfrac{n(n+1)}2 x \]

Find the fundamental period of the function above.

Notation: \( \lfloor \cdot \rfloor \) denotes the floor function.

×

Problem Loading...

Note Loading...

Set Loading...