Fill in each blank so that the resulting statement is true.

Consider the statement 2 is a factor of n₂ + 3n.
If n = 1, the statement is 2 is a factor of_______ .
If n = 2, the statement is 2 is a factor of_______ .
If n = 3, the statement is 2 is a factor of________ .
If n = k + 1, the statement before the algebra is simplified is 2 is a factor of_______ .
If n = k + 1, the statement after the algebra is simplified is 2 is a factor of_________ .