🔢 Topic Summary
A geometric sequence is a list of numbers where each term is found by multiplying the previous term by a constant value called the common ratio. Geometric sequences pop up everywhere, from calculating compound interest to understanding how quickly bacteria can multiply. A geometric sequences worksheet will give you the tools you need to become familiar with this foundational math concept.
🧮 Part A: Vocabulary
Match the terms with their definitions:
- Common Ratio
- Geometric Sequence
- Term
- Explicit Formula
- Recursive Formula
- A formula that defines each term in a sequence based on the previous term(s).
- Each number in a sequence.
- A sequence where each term is multiplied by a constant to obtain the next term.
- A formula that directly calculates any term in a sequence using its position.
- The constant value multiplied by each term to get the next term in a geometric sequence.
✏️ Part B: Fill in the Blanks
A __________ sequence is a sequence where each term is found by __________ the previous term by a constant called the __________. The __________ formula allows you to find any term directly, while the __________ formula uses the previous term to find the next term.
🤔 Part C: Critical Thinking
Describe a real-world scenario where geometric sequences can be applied. Explain why a geometric sequence is appropriate for modeling this situation.