How can I find out the given expressions value of n? $$\frac{a+b}{2}=\frac{a^n+b^n}{a^{n-1}+b^{n-1}}$$ I tried multiplying both sides by denominator, but it didn't work. Also, observing tells me one value of $n$ can be $1$.
2026-05-15 12:46:49.1778849209
How to find out the value of $n$ in the given expression.
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$$0=a^n+b^n-a^{n-1}b-ab^{n-1}=a(a^{n-1}-b^{n-1})-b(a^{n-1}-b^{n-1})=(a^{n-1}-b^{n-1})(a-b)$$