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Code formatted for LaTeX documents ($ equations $).Quick Facts
- Symbol:∑
- Name:Summation
- Unicode:
U+2211 - HTML Entity:
∑ , ∑ - LaTeX:
\sum
The Summation Symbol (∑) in Algebra & Calculus
The Summation symbol (∑), also known as the sum sign or summation operator, is an uppercase Greek letter Sigma (Σ) specifically designated to represent the addition of a sequence of terms. It provides a compact and standardized way to write out long arithmetic or geometric additions, series, and formulas in math, physics, computer science, and economics.
How to Use and Copy the Summation Sign Online
Copying the Summation operator is simple. Click the Copy button on the display card at the top. You can also write sum or the LaTeX command \sum in the name input box, or draw its zig-zag shape on the canvas to find it.
Arithmetic and Geometric Sum Formulas
Summation is used to calculate total series sums:
- Arithmetic Series: $\sum_{i=1}^n i = \frac{n(n+1)}{2}$.
- Sum of Squares: $\sum_{i=1}^n i^2 = \frac{n(n+1)(2n+1)}{6}$.
- Infinite Geometric Series: $\sum_{n=0}^\infty ar^n = \frac{a}{1-r}$ (for $|r| < 1$).
Explore Other Keyboard Tools
To type more mathematical symbols, constants, and operators, check out our collections: Math symbol keyboard, Physics constants keyboard, Chemistry formulas keyboard, Greek letters keyboard, Spanish accents keyboard, German QWERTZ keyboard, and French accents keyboard.
Frequently Asked Questions (FAQ)
What is the meaning of the Summation symbol (∑)?
The summation symbol (∑) represents the sum of a sequence of terms, adding them together systematically based on upper and lower limits.
How do I type the Summation symbol on a computer?
Type "\sum" in Word or LaTeX. On Windows, use Alt + 8721. On our tool, you can copy it or draw it.
What is the LaTeX code for Summation?
The LaTeX command for summation is "\sum".
What is the Unicode and HTML entity for Summation?
The Unicode is U+2211, and the HTML entity is &sum; or &#8721;.