Kalkulator Sigma / Penjumlahan
Evaluasi notasi Σ (sigma) dan visualisasikan setiap suku serta jumlah kumulatif dengan diagram batang interaktif.
Σ Term Visualization
Enter expression and bounds, then compute Σ to see the
chart.
Try these examples
Arithmetic
Σ i (1→n)
Sum of natural numbers
Squares
Σ i² (1→n)
Sum of squares
Harmonic
Σ 1/i (1→n)
Harmonic series
Geometric
Σ 2ⁱ (1→n)
Geometric series
📚 Sigma Notation
Understanding Σ (Sigma) Notation
Sigma notation (Σ) is a compact way to write the sum of a sequence of terms. Instead of writing out every term, you define a pattern and specify where to start and stop.
Σᵢ₌ₐⁿ f(i) = f(a) + f(a+1) + f(a+2) + ... + f(n)
Common useful formulas:
- Σᵢ₌₁ⁿ i = n(n+1)/2 — Sum of first n natural numbers
- Σᵢ₌₁ⁿ i² = n(n+1)(2n+1)/6 — Sum of squares
- Σᵢ₌₁ⁿ i³ = [n(n+1)/2]² — Sum of cubes
- Σᵢ₌₀ⁿ rⁱ = (1 - rⁿ⁺¹)/(1 - r) — Geometric series
❓ FAQ
Frequently Asked Questions
Yes! The calculator automatically converts
n to
i internally. You can write n^2 or
n*(n+1) and it will work correctly.
For performance, keep the number of terms under 500. For
larger sums (e.g., 1 to 10,000), consider using the
closed-form formula instead of brute-force summation.