# If (a^n + b^n)/(a^n-1 + b^n-1) is the A.M. between a and b, then find the value of n.

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If (an + bn)/(an-1 + bn-1) is the A.M. between a and b, then find the value of n.

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Solution:

We know that the arithmetic mean of ‘a’ and ‘b’ is (a+b)/2

so,