Find n, so that a^n + b^n / a^(n-1) + b^(n-1) may be the arithmetic mean between a and b

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Find n, if geometric mean between a and b is (a^{n+1} + b^{n+1})/(a^n + b^n) #maths #video Find n, if geometric mean between a and b is (a^{n+1} + b^{n+1})/(a^n + b^n) #maths #video
if (a^n+b^n)/(a^(n-1)+b^(n-1) ) is the AM between a and b find the value of n if (a^n+b^n)/(a^(n-1)+b^(n-1) ) is the AM between a and b find the value of n
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