Math6-8
Geometric Sequences Practice Set for 6th Grade
By Lexie W.
A practice packet that introduces geometric sequences, covering key terms like first term and common ratio, the explicit formula f(n) = a₁ × rⁿ⁻¹, and a worked example on finding the ratio. It builds pattern recognition and multiplicative reasoning, and works well as a single 45-minute guided practice block or as independent work with a worked example to reference.
Customize for your classroom
Teacher Guide & Tips
- Use this as a 45-minute guided practice block after a brief mini-lesson on multiplicative patterns, having students read the Key Terms together before tackling the worked example.
- Discussion question: How is a geometric sequence different from an arithmetic sequence, and why does multiplying by a ratio make the numbers grow or shrink so quickly?
- Scaffold for struggling readers: Have them label the first term and common ratio in each problem with a highlighter, and create a small table of term positions (n) and values to see the pattern before applying the formula.
- Extension for advanced students: Ask them to predict the 10th term of a sequence with a negative or fractional ratio and explain whether the terms will alternate in sign or shrink toward zero.
- Estimated time: About 40 to 45 minutes for the full set, including reading the worked example and checking answers as a class.
Math6-8
Geometric Sequences Practice Set for 6th Grade
By Lexie W.
A practice packet that introduces geometric sequences, covering key terms like first term and common ratio, the explicit formula f(n) = a₁ × rⁿ⁻¹, and a worked example on finding the ratio. It builds pattern recognition and multiplicative reasoning, and works well as a single 45-minute guided practice block or as independent work with a worked example to reference.
Customize for your classroom
Teacher Guide & Tips
- Use this as a 45-minute guided practice block after a brief mini-lesson on multiplicative patterns, having students read the Key Terms together before tackling the worked example.
- Discussion question: How is a geometric sequence different from an arithmetic sequence, and why does multiplying by a ratio make the numbers grow or shrink so quickly?
- Scaffold for struggling readers: Have them label the first term and common ratio in each problem with a highlighter, and create a small table of term positions (n) and values to see the pattern before applying the formula.
- Extension for advanced students: Ask them to predict the 10th term of a sequence with a negative or fractional ratio and explain whether the terms will alternate in sign or shrink toward zero.
- Estimated time: About 40 to 45 minutes for the full set, including reading the worked example and checking answers as a class.