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Useful Formulae

Explore essential formulas used in asymptotic analysis to calculate algorithm time complexities. Understand summation equations and common runtime patterns to better evaluate and compare algorithm efficiency.

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Formulae

Here is a list of handy formulas which can be helpful when calculating the Time Complexity of an algorithm:

Summation
Equation
(i=1nc)=c+c+c++c\left(\sum_{i=1}^n c \right) = c + c+ c + \cdots + c
cncn
(i=1ni)=1+2+3++n\left(\sum_{i=1}^n i \right) = 1+2+3+\cdots+n
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