Solution
= Solution
Let $k=N-n+1$. The consumption first-order condition gives
$$
\boxed{C_n^*=\frac{X_{n-1}^*}{k+1}-\frac{k}{2}\log\gamma
=\frac{X_{n-1}^*}{N-n+2}-\frac{N-n+1}{2}\log\gamma.}
$$
= Solution
Let $k=N-n+1$. The consumption first-order condition gives
$$
\boxed{C_n^*=\frac{X_{n-1}^*}{k+1}-\frac{k}{2}\log\gamma
=\frac{X_{n-1}^*}{N-n+2}-\frac{N-n+1}{2}\log\gamma.}
$$