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Question

The arithmetic mean of the sequence 7, _____, _____, _____, 15. Find the missing values.

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Solution

Given, a=7,b=15 and n=3
The common difference for inserting arithmetic means are calculated as d=1573+1=2
Using the above value of d, the arithmetic means will be,
A1=7+2=9
A2=7+2(2)=11
A3=7+3(2)=13
So, the missing numbers are 9,11 and 13.

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