Calculate the sum of a sequence of consecutive integers.
Range
Summation
Sum (S)5,050
Count100
Sum from 1 to 100
About this calculator
Sum of Consecutive Integers
Adding a string of whole numbers (integers) that follow each other in order (like 1, 2, 3, 4, 5). The sum of such a sequence can be quickly found using the arithmetic series formula, famously used by young Gauss.
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Pro Tips
The number of terms 'n' is (last - first) + 1.
This formula works for any arithmetic progression, but for consecutive integers the common difference is 1.
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Fun Facts
"Legend has it that primary school teacher imposed a busy-work assignment to add numbers 1 to 100. Young Carl Friedrich Gauss computed it instantly as 5050."
"The sum of n consecutive integers is divisible by n if n is odd."
