Suppose n is an integer. select all statements below that are true:

1) n^2 + n is always an even integer

2) n^2 + n is always an even integer when n is even

3) n^2 + n is always an even integer when n is odd

4) n^2 + n is never an even integer when n is odd

5) n^2 + n is never an even integer

6) n^2 + n is sometimes an even intege

Question

Mathematics

Keith Trevino

25 February, 20:15

Suppose n is an integer. select all statements below that are true:

1) n^2 + n is always an even integer

2) n^2 + n is always an even integer when n is even

3) n^2 + n is always an even integer when n is odd

4) n^2 + n is never an even integer when n is odd

5) n^2 + n is never an even integer

6) n^2 + n is sometimes an even intege

+2

Answers (1)

Know the Answer?

Monica Tanner · Answer 1

The answer is 1) n^2 + n is always an even integer.

When you square an even integer it gives you an even integer then you are adding an even integer which will always be even. When you square an odd integer you will get an odd integer but then you add an odd integer and odd + odd is always even.