Algebraic Proof

Question 1

An even number?

Answer 1

2n

Question 2

An odd number?

Answer 2

2n + 1

Question 3

Three consecutive numbers?

Answer 3

n, n + 1, n +2

Question 4

Three consecutive even numbers?

Answer 4

2n, 2n + 2, 2n + 4

Question 5

Three consecutive odd numbers?

Answer 5

2n + 1, 2n + 3, 2n + 5

Question 6

Any two even numbers?

Answer 6

2n, 2m

Question 7

Any two odd numbers?

Answer 7

2n + 1, 2m + 1