Question

The sum of 333 consecutive even numbers is 787878.
What is the second number in this sequence?

Answer 1

26

Explanation:

First consecutive even number = x

Second consecutive even number = x + 2

Third consecutive even number = x + 4

Add:

x + (x + 2) + (x + 4) = 78

3x + 6 =78

3x = 72

x = 24

The second number would be 26

The middle number of a sequence of consecutive numbers can be found by dividing the sum by the number of terms. 78 ÷ 3 = 26