SOLUTION: insert seven arithmetic means between 2 and 26

Question 1132351: insert seven arithmetic means between 2 and 26
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
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After inserting 7 arithmetic means between 2 and 26, you will have (7+1) = 8 gaps of the equal size between 2 and 26.


Hence, each gap is of   =  = 3 units wide.


So, the common difference of the arithmetic progression is 3 and the first term is 2.


Hence, the progression, with 7 inserted arithmetic means, is 


    2, 5, 8, 11, 14, 17, 20, 23, 26.

Solved, answered and explained.

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