Question 28
Consider a sequence of real numbers $\{a_n\}$ defined by
$$a_1=1,\qquad a_{n+1}=\frac{a_n}{1+na_n}\quad(n\ge1).$$
Find the value of $\frac1{a_{2005}}-2000000$.
$$a_1=1,\qquad a_{n+1}=\frac{a_n}{1+na_n}\quad(n\ge1).$$
Find the value of $\frac1{a_{2005}}-2000000$.