Question 16
We consider the sequence of real numbers $(a_n)$, $n=1,2,3,...$
$$
a_1 = 2 \text{ and } a_n = \left(\frac{n+1}{n-1}\right) (a_1 + a_2 + \dots + a_{n-1}), \quad n \ge 2.
$$
Determine the term $a_{2013}$.
$$
a_1 = 2 \text{ and } a_n = \left(\frac{n+1}{n-1}\right) (a_1 + a_2 + \dots + a_{n-1}), \quad n \ge 2.
$$
Determine the term $a_{2013}$.