Summation Calculator
Calculate the sum of a sequence using sigma notation.
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Summation Formula
The summation (sigma notation) represents the sum of a sequence of terms. It is denoted by the Greek letter sigma (Σ).
How to Calculate Summation
To calculate a summation, follow these steps:
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1Enter the expression using 'n' as the variable
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2Specify the start value (lower bound)
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3Specify the end value (upper bound)
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4Calculate the sum of all terms from start to end
For example, to find the sum of n² from 1 to 5:
Summation - Practical Examples
Example 1 Sum of Natural Numbers
Calculate the sum of natural numbers from 1 to 10.
Σ(n=1 to 10) n = 1 + 2 + 3 + ... + 10 = 55
Example 2 Sum of Squares
Calculate the sum of squares from 1 to 5.
Σ(n=1 to 5) n² = 1² + 2² + 3² + 4² + 5² = 55
Example 3 Arithmetic Sequence
Calculate the sum of the arithmetic sequence 2n + 1 from 1 to 5.
Σ(n=1 to 5) (2n + 1) = (2*1 + 1) + (2*2 + 1) + ... + (2*5 + 1) = 35