Geometric Sequences: Finding the nth Term
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Learning Objective
Students are learning how to write the general term of a geometric sequence, find the value of the nth term, and understand growth and decay in geometric patterns.
Lesson Flow
Watch Video
Introduction to geometric sequences | Sequences, series and induction | Precalculus | Khan Academy
Khan Academy
Guided Notes
Key concepts students will learn:
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A geometric sequence is a sequence where each number is found by multiplying the previous number by a fixed value called the common ratio.
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If the first term (a₁) of a geometric sequence is 90 and the common ratio is -⅓, the second term is -30 and the third term is 10.
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In a bungee jumping scenario where the initial jump stretches 120 feet and each bounce is 60% of the previous stretch, the stretch on the nth bounce can be calculated as 120 * 0.6ⁿ.
Practice
7 questions • Multiple choice & Short answer & Fill in the blank
Exit Ticket
“The first term of a geometric sequence is 5, and the common ratio is 2. What are the first four terms of this sequence?”
Teacher Guide
Get the complete package:
- Answer keys for all questions
- Differentiation strategies
- Extension activities
- Printable student handouts
