Series Notation 2

  • Static Fields 2024

    Write (a good guess for) the following series using sigma \(\left(\sum\right)\) notation. (If you only know a few terms of a series, you don't know for sure how the series continues.)

    1. \[1 - 2\,\theta^2 + 4\,\theta^4 - 8\,\theta^6 +\,\dots\]

    2. \[\frac14 - \frac19 + \frac{1}{16} - \frac{1}{25}+\,\dots\]