# Parities kinda handy

$1$ is an $\color{#D61F06}\text{odd}$ number.
$1 + 2$ is an $\color{#D61F06}\text{odd}$ number.
$1 + 2 + 3$ is an $\color{#3D99F6}\text{even}$ number.
$1 + 2 + 3+ 4$ is an $\color{#3D99F6}\text{even}$ number.
$1 + 2 + 3+ 4+5$ is an $\color{#D61F06}\text{odd}$ number.
$\cdots \cdots$

True or False?

$1 + 2 + 3 + \cdots + 999$ is an $\color{#D61F06}\text{odd}$ number.

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