Sigma notation
0/11
Examples
Lessons
- Evaluate the following arithmetic series:
- Write the following sum in sigma notation, then evaluate
7+9+11+13+...+205
- Evaluate the following geometric series:
- Write the following sum in sigma notation, then evaluate
−100+10−1+101−1001 - Use sigma notation to express S10 for −5,10,−20,40,..., then evaluate
- Evaluate the following infinite geometric series:
- Write the following sum in sigma notation, then evaluate
Free to Join!
StudyPug is a learning help platform covering maths and science from primary all the way to second year university. Our video tutorials, unlimited practice problems, and step-by-step explanations provide you or your child with all the help you need to master concepts. On top of that, it's fun — with achievements, customizable avatars, and awards to keep you motivated.
Easily See Your Progress
We track the progress you've made on a topic so you know what you've done. From the course view you can easily see what topics have what and the progress you've made on them. Fill the rings to completely master that section or mouse over the icon to see more details.Make Use of Our Learning Aids
Earn Achievements as You Learn
Make the most of your time as you use StudyPug to help you achieve your goals. Earn fun little badges the more you watch, practice, and use our service.Create and Customize Your Avatar
Play with our fun little avatar builder to create and customize your own avatar on StudyPug. Choose your face, eye colour, hair colour and style, and background. Unlock more options the more you use StudyPug.
Topic Notes
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.
∑i=1n(an equation containing i)
∑ : "Sigma"; summation of ith term to nth term
i : index, a counter for the ith term
n : index of ending term
∑ : "Sigma"; summation of ith term to nth term
i : index, a counter for the ith term
n : index of ending term
Related Concepts
2
videos
remaining today
remaining today
5
practice questions
remaining today
remaining today