The sum of two numbers is their value added together.
This operation is called additive summation or addition. There are many ways of writing sums, including:
Sigma notation is a mathematical notation to write long sums in a short way. Sigma notation uses the Greek letter Sigma ( ), and takes upper and lower bounds which tell us where the sum begins and where it ends. The lower bound usually has a variable (called the index, often denoted by , or ) along with a value, such as " ". This tells us that the summation begins at 2, and goes up by 1 until it reaches the number on the top.
Sums are used to represent series and sequences. For example:
The geometric series of a repeating decimal can be represented in summation. For example:
The concept of an integral is a limit of sums, with the area under a curve being defined as:
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