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Why can't the sum of any 4 consecutive numbers be a multiple of four?

2 Answers

4 votes

It wouldn't be able to be because since all of the the numbers that could fit is probably going to be a decimal. Let's say we find 4 consecutive numbers of 32.

Equation:

x+(x+1)+(x+2)+(x+3)=32

4x+6=32

-6 -6

4x=26

x=6.5 1. 6.5, 7.5, 8.5, 9.5

As you can see, the consecutive number is going to be a decimal.

User ScottGuymer
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3 votes

Good evening ,

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Answer:

Of course it can’t be.

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Explanation:

Look at the photo below for the full answer.

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Why can't the sum of any 4 consecutive numbers be a multiple of four?-example-1
User Bunjeeb
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