Sequence Sum Calculator 2025: Complete Guide
Sequence sums are everywhere — from finance to physics. Our Sequence Sum Calculator computes Sₙ for any arithmetic or geometric series instantly, with full step-by-step LaTeX proof.
The 2 Core Formulas
Arithmetic: Sₙ = n/2 × (2a + (n-1)d)
Geometric: Sₙ = a(1 - rⁿ)/(1 - r)
Step-by-Step: 2 + 5 + 8 + ... (10 terms)
- a = 2, d = 3, n = 10
- S₁₀ = 10/2 × (4 + 27) = 155
Real-World Uses
- Compound interest
- Total distance in motion
- Algorithm analysis
FAQs
Infinite sum? Use |r| < 1 → S∞ = a/(1-r)
Fractions? Fully supported.
Conclusion
Master series in seconds. Try any problem now!
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