Dutch Mathematical Olympiad

For the integers $a$, $b$, $c$, and $d$ the difference between $a$ and $b$ equals $2$, the difference between $b$ and $c$ equals $3$, and the difference between $c$ and $d$ equals $4$. Which of the following values cannot be the difference between $a$ and $d$?

A) $1$ B) $3$ C) $5$ D) $7$ E) $9$