SOLUTION: The average of the intergers from 200 to 400, inclusive, is how much greater than the average of the integers from 50 to 100, inclusive?

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Question 118130: The average of the intergers from 200 to 400, inclusive, is how much greater than the average of the integers from 50 to 100, inclusive?
Answer by stanbon(75887) About Me  (Show Source):
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The average of the integers from 200 to 400, inclusive, is how much greater than the average of the integers from 50 to 100, inclusive?
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200 to 400
Sum of an arithmetic sequence = (n)(a+l)/2
Sum = 201(200+400)/2 = 201(600)/2 = 201*300
Average = 201*300/201 = 300
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50 to 100
Average = (50+100)/2 = 75
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1st average - 2nd average = 225
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Cheers,
Stan H.