\(1\) is an \(\color{red}\text{odd}\) number.

\(1 + 2 \) is an \(\color{red}\text{odd}\) number.

\(1 + 2 + 3\) is an \(\color{blue}\text{even}\) number.

\(1 + 2 + 3+ 4\) is an \(\color{blue}\text{even}\) number.

\(1 + 2 + 3+ 4+5\) is an \(\color{red}\text{odd}\) number.

\(\cdots \cdots\)

**True or False?**

\(1 + 2 + 3 + \cdots + 999 \) is an \(\color{red}\text{odd}\) number.

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