SOLUTION: The sum of first 3 integers in an Arithmetic progression is 36. The sum of the next 3 integers is 72. What is the common difference between the terms?
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Question 1124696: The sum of first 3 integers in an Arithmetic progression is 36. The sum of the next 3 integers is 72. What is the common difference between the terms?
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
(1)
(2)
(1) ==>
(2) ==>
Subtract (1) from (2):
—>
————————
Another approach:
In the first group of three, the average value is 36/3 = 12 (= middle value, )
In the 2nd group of three, the average value is 72/3 = 24 (= middle value, )
Since : 24 = 12 + 3d —> 3d = 12 —> d = 4
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