Question

A sequence a1,a2,a3,..... of real numbers is defined by the following rule :a1=2, a2=12

and

Answer 1

\[a _{n+1}=\frac{ a _{n} +1}{ a _{n-1} }\]
for n>1 .Determine \[a _{2012}\]

Answer 2

use the recursion relation to get An in closed form.

Answer 3

Indeed, it repeats quite predictably if you write out enough terms.

Answer 4

... i misinterpreted the Question.