Given \(a_0 = 1\)and \(a_1 = 5\)and the general relation \(a_n^2 - a_{n - 1} a_{n + 1} = (-1)^n\) for \(n \ge 1\) find \(a_3 \)
im nor sure on how to start this problem...
any help well be appreciated!
thank you!!
For n = 1: a12 - a0·a2 = (-1)1 ---> (5)2 - 1·a2 = -1
---> 25 - a2 = -1
- a2 = -26
a2 = 26
For n = 2: a22 - a1·a3 = (-1)2 ---> 262 - 5·a3 = 1
You'll need to finish ...