The sum of five consecutive even numbers is 100 what is the first number in this sequence

X + (x+2) + (x+4) + (x+6) + (x+8) = 100

5x + 20 = 100

5x = 80

x = 16

the first term is 16

X will be the smallest even number. Let's make equations.

x = smallest number.

x+2 = second smallest number

x+4 = third smallest number

x+6 = fourth smallest number

x+8 = biggest.

Let's add them all together.

x+x+2+x+4+x+6+x+8=100; let's add like terms.

5x+20=100; let's subtract 20.

5x=80; let's divide.

80:5=16=x

So, if 16 is the smallest number, we know the rest. Let's add them to make sure.

16+18+20+22+24

34+42+24

76+24

100

So, the numbers are: 16, 18, 20, 22, and 24.