Question Number 34677 by math khazana by abdo last updated on 09/May/18
![prove that Σ_(k=0) ^(n−1) [x +(k/n)] =[nx] ∀ n∈ ∈N^★](https://www.tinkutara.com/question/Q34677.png)
$${prove}\:{that}\:\:\sum_{{k}=\mathrm{0}} ^{{n}−\mathrm{1}} \:\left[{x}\:+\frac{{k}}{{n}}\right]\:=\left[{nx}\right]\:\:\forall\:{n}\in\:\in{N}^{\bigstar} \\ $$
prove-that-k-0-n-1-x-k-n-nx-n-N-