No use of any identities
Algebra
Level
5
Let \(\alpha,\beta \) be the roots of the equation \(x^2-x-1=0\).
Let \(a_{2n}={\alpha}^{2n}+{\beta}^{2n} \) where \(n\geq1\) and \(n\) is a natural number.
What is the value of \(a_{20}+a_{22} \)?
by
Shubham Garg