Sigma notation - Sequences and Series
Sigma notation
Don't you find it tiring when we express a series with many terms using numerous addition and/or subtraction signs? Don't you wish that we have something to symbolise this action? Well we have a solution, introducing the "Sigma Notation"! In this section, we will learn how to utilise the sigma notation to represent a series, as well as how to evaluate it.
Related Concepts
- Introduction to sequences
- Introduction to infinite series
Lessons
Notes:
(an equation containing )
: "Sigma"; summation of term to term
: index, a counter for the term
: index of ending term
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1.
Evaluate the following arithmetic series:
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3.
Evaluate the following geometric series:
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6.
Evaluate the following infinite geometric series:
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7.
Write the following sum in sigma notation, then evaluate
