We’re gearing up for a quick look at infinite series next week, and I mention that since they’ve re-mastered arithmetic series we can move on to geometric. A student asks, with a smile, “after that, are there algebraic and trigonometric series?”

Yes, actually — although I’d never thought of Tayor or Fourier series by those labels – but as much fun as it was to answer yes, it was more fun to be caught off guard by a student making a killer connection between patterns in his experience.