We want to prove by induction that n² + n is even for all positive integers n. The base case is:

1² +1 = 2 is even.

Select the proper inductive hypothesis. It is left up to you to determine whether there are multiple correct answers.

Group of answer choices

Suppose we have proven that n² + n is even.

Suppose we have proven that n² + n is even for some arbitrary positive integer n.

Suppose we have proven that n² + n is even for all positive integers n.

Suppose n = k.

Since we have proved the case n = 1, we can now assume that the statement has been proved for some n.

Suppose we have already proved the case n = 1.