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30 April, 07:54

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

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  1. 30 April, 11:19
    0
    X + (x+2) + (x+4) + (x+6) + (x+8) = 100

    5x + 20 = 100

    5x = 80

    x = 16

    the first term is 16
  2. 30 April, 11:31
    0
    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.
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