This is a generalization of
Using induction, show that $4^n +15n - 1$ is divisible by $9$ for all $n \geq 1$
I want to find conditions on
$a, b, c$, and $d$
with
$a\ne -1, 0, 1$
such that
$d|(a^n+bn+c)$
for
$n \ge 1$.
Here is my result:
A sufficient condition
is that
$a+b+c \ne 0$
and
all of
...
This is not the first time that generalization tag was created and not the first time by this user, either. The comment below is from August:
I have noticed this was second time you have created (generalization) tag. (And in the past this tag was created by other users and removed each time.) I think that probably it would be better to discuss the tag on meta first, since it is unclear whether or not this tag can be useful. (Relevant discussion on meta: Should every new tag be discussed on meta before creation?) After you see this comment, feel free to ping me here or in tagging chatroom - then I can remove it. — Martin SleziakAug 23 at 12:59
