Question 177700
S(n) = (1/2)*n(n+1). How many consecutive integers, starting with 1, must be added to get a sum of 300?
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Equation:
(n/2)(n+1) = 300
Multiply both sides by 2 to get:
n(n+1) = 600
n^2 +n - 600 = 0
(n-25)(n+24) = 0 
Positive solution:
n = 25
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Cheers,
Stan H.