The sum of consecutive positive even integers is . Find the sum of the lowest and highest integers.
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The sequence of numbers forms an arithmetic progression. The common difference is 2 ; number of terms is 4 1 3 9 ; and the sum is of the terms is 1 7 1 3 5 4 6 0 . We can use the formula:
s = 2 n ( a 1 + a n ) where: s = s u m , n = n u m b e r o f t e r m s , a 1 = f i r s t t e r m and a n = n t h t e r m
Substituting, we get
1 7 1 3 5 4 6 0 = 2 4 1 3 9 ( a 1 + a 4 1 3 9 )
4 1 3 9 1 7 1 3 5 4 6 0 ( 2 ) = a 1 + a 4 1 3 9
a 1 + a 4 1 3 9 = 8 2 8 0 answer