Exer. 2128: Find the first five terms of the recursively defined infinite sequence.

M303 Section 4.4 Notes- Coordinate Systems 11-7-16 Why are bases significant o Using a choice of basis, get a diagram (invertible linear map)ℝ ( = # of basis vectors) which allows reducing computations in vector space to computations in ℝ , where we can use matrices Theorem 7- Unique Representation Theorem o Let = …, }be a basis for vector space o For each , there exists a unique set of scalars , ,…, such that = + + ⋯+ 1 2