1. The problem statement, all variables and given/known data Use a series expansion ψ=A0x0+A1x1+A2x2+... to determine the three lowest-order wave functions for a harmonic oscillator with spring constant k and mass m, and show that the engergies are the expected values. 2. Relevant equations Series expansion given above Time independent Schrodinger's equation 3. The attempt at a solution I am not familiar with series expansion. Asking others in the class, we got as far as what is in the picture, where we took the function for a harmonic oscillator F=-kx and substituted it for U in Schrodinger's Equation.