Evaluate the sum of a series from a formula and integer range using sigma notation with term-by-term breakdown.
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Supported syntax
Use +, -, *, /, ^ (power), parentheses, sqrt(), abs(), and pi. Examples: n^2, 2*n+1, 1/n, sqrt(n).
Also in Functions
Algebra
The summation calculator evaluates the sum of a series defined by a formula and integer range. Enter an expression like n^2 and bounds from 1 to 10 to see the total, each term, and the average value.
Sigma notation expresses a sum concisely: the capital Greek letter sigma (Σ) followed by a formula, a variable, and lower and upper bounds. The calculator evaluates the formula at each integer value of the variable from the lower bound to the upper bound and sums the results.
For example, Σ(n, 1, 5) of n^2 means 1^2 + 2^2 + 3^2 + 4^2 + 5^2 = 55.
The calculator supports basic arithmetic (+, -, *, /), exponents (^), parentheses, sqrt(), abs(), and the constant pi. The variable defaults to n but can be renamed.
Frequently asked questions
The sum of the first 100 natural numbers is 5050. The formula n(n+1)/2 gives 100 × 101 / 2 = 5050.
No. It evaluates finite sums up to 10000 terms. For convergence analysis of infinite series, use a dedicated series convergence tool.
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