As per the inquiry,

is distinguishable by 3.

Along these lines, subbing various qualities for n, we get,

which is distinguishable by 3.

which is separable by 3.

which is detachable by 3.

which is separable by 3.

Let

be distinct by 3

In this way, we get,

Presently, we likewise get that,

is detachable by 3.

is valid when P(k) is valid.

Subsequently, by Mathematical Induction,

is detachable by 3, for all regular numbers n.