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  • 24-08-2019
  • Mathematics
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The sum of 333 consecutive even numbers is 787878.
What is the second number in this sequence?

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  • 24-08-2019

Answer:

26

Step-by-step 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

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