Sunday, May 26, 2013

find all sets of three consecutive positive even integers with a sum no greater than 36

the set of solutions is infinite: 

%0D%0A%28n%29+%2B+%28n%2B1%29+%2B+%28n%2B2%29%3C=36%0D%0A 

leads to n=11, but n must be even so n=10 

Our list of consecutive even integers with a sum less than or equal to 36 ends with {10, 12, 14} but it has no beginning. 

:)

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