Geometric Sequence
Description
Finds the nth term of a geometric sequence.
Variables
| Symbol | Meaning |
|---|---|
aₙ | nth term |
a₁ | First term |
n | Term number |
r | Common ratio |
Example
Problem
Find 5th term if a₁=2, r=3
Solution
a₅ = 2 × 3⁴ = 162
Real-World Applications
- Compound interest
- Population growth
- Exponential decay