SOLUTION: A list consist of 1000 consecutive even integers . what is the difference between the greatest number in the list and the least number in the list ?

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Question 357647: A list consist of 1000 consecutive even integers . what is the difference between the greatest number in the list and the least number in the list ?

Answer by neatmath(302) About Me  (Show Source):
You can put this solution on YOUR website!
A list of 1000 consectutive integers would look like this:

x, x+1, x+2, x+3 ... x+999

Notice if we had a list of four consecutive integers, it would be

x, x+1, x+2, x+3

By the same reasoning, the last term in 1000 consecutive integers would be x+999

So, now we just need to find the difference between the first and last terms:

%28x%2B999%29-%28x%29

999

The difference between the greatest integer and smallest integer would be 999.

I hope this helps!