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.

Explanation

To solve the problem, we need to find the value of \( n \) such that

\[ \frac{a^n + b^n}{a^{n-1} + b^{n-1}} \]

is the arithmetic mean (A.M.) of \( a \) and \( b \). The A.M. of \( a \) and \( b \) is given by:

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