Recurring Styles #11 - Smallest non-integral term of a Sequence!

Algebra Level 5

\[\large{y_{n+1} = \dfrac12 \left( 3y_n + \sqrt{5 y_n^2 - 4} \right)}\]

Define a sequence \((y_n)_{n \geq 0}\) by the above recurrence relation such that \(y_0 = 1, \ n \in \mathbb Z\). Find the smallest value of \(n\) such that \(y_n\) is not an integer.

×

Problem Loading...

Note Loading...

Set Loading...