SOLUTION: The product of fifteen consecutive whole numbers is 0. What is the greatest possible sum of the whole numbers?

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Question 235861: The product of fifteen consecutive whole numbers is 0. What is the greatest possible sum of the whole numbers?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
To have a product 0, one of the 15 consecutive whole numbers 
has to be 0. And since the amallest whole number is 0, the 15 
consecutive whole numbers are 0,1,2,3,...,14 and

0%2B1%2B2%2B3%2B4%2B5%2B6%2B7%2B8%2B9%2B10%2B11%2B12%2B13%2B14+=+105.

So that's not just the GREATEST possible sum, it's also the
LEAST and the ONLY possible sum of 15 consecutive whole numbers
whose product is 0.

Maybe your teacher wanted you to find that sum by formula and
not by adding directly.  If so the formula is

S%5Bn%5D=%28n%282a%5B1%5D+%2B+%28n-1%29d%29%29%2F2

with a%5B1%5D=0, d=1, n=15

S%5B15%5D=%2815%282%2A0%2B%2815-1%29%2A1%29%29%2F2

S%5B15%5D=%2815%280%2B14%2A1%29%29%2F2

S%5B15%5D=%2815%280%2B14%29%29%2F2

S%5B15%5D=%2815%2814%29%29%2F2

         7
S%5B15%5D=%2815%28cross%2814%29%29%29%2Fcross%282%29

S%5B15%5D=15%2A7

S%5B15%5D=105

Edwin