The arithmetic mean of 1/(a+b) and 1/(b+c) is 1/(a+c)
Find in terms of b , the arithmetic mean of a^2 and c^2 .
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Arithmetic mean implies
In this equation find a common denominator for the LHS, cross multiply then simplify.
After some cancelling you will be left with
Then divide both sides by 2 and your answer will appear. Spoiler:
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