Question 5
A sequence of numbers $a_{1}, a_{2}, a_{3}, \ldots$ satisfies
(i) $a_{1}=\frac{1}{2}$,
(ii) $a_{1}+a_{2}+\cdots+a_{n}=n^{2} a_{n}$ \quad $(n \geq 1)$.
Determine the value of $a_{n}$ \quad $(n \geq 1)$.
(i) $a_{1}=\frac{1}{2}$,
(ii) $a_{1}+a_{2}+\cdots+a_{n}=n^{2} a_{n}$ \quad $(n \geq 1)$.
Determine the value of $a_{n}$ \quad $(n \geq 1)$.