Geometric Series Worksheet with Answer Key

What's on the worksheet

1. Find each sum, naming the first term, ratio and number of terms first.
   the first 6 terms of 2 + 10 + 50 + …\sum_{k=1}^{8} 3(-2)^{k-1}729 + 243 + 81 + … + 1\sum_{k=0}^{4} 10(1.1)^{k}
2. Find how many terms add to a total, and use the sum formula with a ratio of one half.
3. Word problem: trout in a lake after a hatchery releases young fish each spring.
4. Word problem: the quarterly payment a band fund needs to reach its goal.
5. Word problem: the loan amount behind Arjun's 300 dollar monthly car payment.
6. Word problem: how many families are called in a school closing phone tree.