Question

The sum of 4 44 consecutive even numbers is 36 3636. What is the first number in this sequence?

Answer 1

Suppose the first no. is x then the sequence is x, x+2, x+4, x+6. The sum of thses 4 numbers is 36.

Rewrite them in equation form:

`x + x + 2 + x + 4 + x + 6 = 36 \\ x + x + x + x = 36 - 2 - 4 - 6 \\ 4x = 36 - 12 \\ x = 24 / 4 = 6`

`∵6 + 8 + 10 + 12 = 36`

∴ The first number is 6.