Question

The sum of the first n even natural numbers (2 + 4 + 6 + ...+ 2n) is given by the product of n and the number immediately following it. Which option represents this formula?

Options

• n²

• 2n + 2

• n(n+1)

• 2n(n-1)

Answer 1

n(n+1)

Explanation: 

The formula for the sum of the first n even numbers is n(n+1). For example, the sum of the first 3 even numbers (2+4+6 = 12) is 3 (3+1) = 12.