Geometric Progression Explorer 🚀
Discover the beauty of sequences where each term is multiplied by a fixed common ratio.
Formula for the Nth Term
Tn = a × r(n-1)
Key Properties
- Constant common ratio
- Product of equidistant terms is constant
- Geometric mean: √(ab)
Real-World Applications
Finance: Compound interest
Physics: Radioactive decay
Tech: Exponential algorithms
Example
With a = 3 and r = 2:
3, 6, 12, 24, 48, ...
Practice Exercises
- Find the 6th term of 5, 10, 20, ...
- Sum of first 8 terms where a = 4, r = 3
- Sum to infinity: 2, 1, 0.5, ...