Exponential growth multiplies by a constant factor as input increases and becomes large quickly.
What Is Exponential Growth?
Exponential growth multiplies by a constant factor as input increases and becomes large quickly.
Examples of Exponential Growth
1
Enumerating all subsets of n items requires 2ⁿ possibilities.Formula and Key Points
Formula / rule
aⁿ, a>1
- Know the definition and standard notation for Exponential Growth.
- Be able to recognise or compute exponential growth in a small example.
- Connect the concept to nearby topics in the same subject before using it in larger CSE problems.
Why This Matters in Computer Science
Used to reason about running time, memory use, recursion, loop counts and the scalability of algorithms.
Related Math Terms
Exponential Growth: Frequently Asked Questions
What is Exponential Growth?
Exponential growth multiplies by a constant factor as input increases and becomes large quickly.
Why is Exponential Growth useful in computer science?
Used to reason about running time, memory use, recursion, loop counts and the scalability of algorithms.