Suppose each Gibonacci number Gk+2 is the average of the two previous numbers Gk+1 and Gk . Then Gk+2 = 1 2 (Gk+1 +Gk): Gk+2 = 1 2Gk+1 + 1 2Gk Gk+1 = Gk+1 is " Gk+2 Gk+1 # = h A i " Gk+1 Gk # . (a) Find the eigenvalues and eigenvectors of A. (b) Find the limit as n of the matrices A n = S nS 1 . (c) If G0 = 0 and G1 = 1, show that the Gibonacci numbers approach 2 3 .

General Chemistry I Study Guide Exam 3 Chapter 7 Valence Shell Electron Pair Repulsion (VSEPR) – predicting molecular shape; basic idea is that electrons repel each other; electrons are found in different domains (lone pairs/single bonds/double bonds/triple bonds) o electrons will arrange themselves as far as possible o arrangements minimize repulsive...