Question 170
Suppose $a_{1}, a_{2}, \ldots$ is a sequence of integers, and $d$ is some integer. For all natural numbers $n$,
(i) $\left|a_{n}\right|$ is prime;
(ii) $a_{n+2}=a_{n+1}+a_{n}+d$.
Show that the sequence is constant.
(i) $\left|a_{n}\right|$ is prime;
(ii) $a_{n+2}=a_{n+1}+a_{n}+d$.
Show that the sequence is constant.