Geometric Progression
Geometric Progression problems feature figures where sizes or element counts multiply by a constant ratio at each step (e.g., radius doubles: 5,10,20,40). You must identify the ratio and apply it to find the next figure.
What You'll Learn
Introduction to Geometric Progression
Geometric Progression problems feature figures where sizes or element counts multiply by a constant ratio at each step (e.g., radius doubles: 5,10,20,40). You must identify the ratio and apply it to find the next figure.
Prerequisites
How to Solve Geometric Progression Problems
Step 1: Measure or count the attribute (size, element count)
Step 2: Calculate the ratio between consecutive values: r = Value₂ ÷ Value₁
Step 3: Verify ratio is constant for all consecutive pairs
Step 4: Apply the ratio to the last value: Next = Last × r
Step 5: If ratio < 1, values are decreasing (geometric decay)
Step 6: The shape type usually remains constant
Step 7: Select the figure with the calculated value
Example Problem
Example: Circle radii: 5, 10, 20, 40. What is next radius? Solution: Step 1: Radii: 5, 10, 20, 40 Step 2: Ratios: 10÷5=2, 20÷10=2, 40÷20=2 Step 3: Common ratio r = 2 Step 4: Next radius = 40 × 2 = 80 Answer: Circle with radius 80
Pro Tips & Tricks
- Practice regularly to build speed and accuracy
- Understand the concept before memorizing formulas
- Start with easier problems and gradually increase difficulty
Practice Worksheets
Practice makes perfect! Work through these worksheets to master Geometric Progression. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.
Exam Importance
Geometric Progression is an important topic for various competitive exams. Here's how frequently it appears:
Ready to Master Geometric Progression?
Start with Worksheet 1 and work your way up to expert level! Each worksheet includes: