A geometric series is the sum of terms in a geometric sequence with a constant ratio.
What Is Geometric Series?
A geometric series is the sum of terms in a geometric sequence with a constant ratio.
Examples of Geometric Series
1
1+2+4+8 = 15.Formula and Key Points
Formula / rule
Sₙ=a(1−rⁿ)/(1−r), r≠1
- Know the definition and standard notation for Geometric Series.
- Be able to recognise or compute geometric series 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
Geometric Series: Frequently Asked Questions
What is Geometric Series?
A geometric series is the sum of terms in a geometric sequence with a constant ratio.
Why is Geometric Series useful in computer science?
Used to reason about running time, memory use, recursion, loop counts and the scalability of algorithms.