Question

The sum of 333 consecutive even numbers is 132132132.

What is the third number in this sequence?

Answer 1

46

Explanation:

x + (x + 2) + (x + 4) = 132

3x + 6 = 132

3x = 126

x = 42

x + 4 = 46

Answer 2

Let x be the first number in the sequence. Consecutive even integers are separated by a distance of 2. So

x + (x + 2) + (x + 4) = 132

3x + 6 = 132

3x = 126

x = 42

which makes the third number x + 4 = 46.