The Geometric Series Test Worksheet with Answer Key

What's on the worksheet

1. Each series is geometric.
   \displaystyle\sum_{n=1}^{\infty} \dfrac{2^{2n+1}}{5^{n+1}}\displaystyle\sum_{n=0}^{\infty} \dfrac{(-3)^{n+1}}{2^{3n}}\displaystyle\sum_{n=1}^{\infty} \dfrac{3^{2n}}{2^{3n-1}}\displaystyle\sum_{n=0}^{\infty} \dfrac{(-1)^n\, 3^{2n}}{9^{n+1}}\displaystyle\sum_{n=1}^{\infty} \dfrac{\sqrt{2^n}}{2^n}
2. Olivia's work on two series is shown.
3. Write each term as a sum of two geometric terms.
4. Consider the series below.
5. Maya, Ben and Jin take turns, in that order, spinning a spinner with four equal sectors, one of them gold.