Summation Telescoping Property
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Lesson Summary:
In this lesson, you will learn about the summation telescoping property and how to use it to find summations. The lesson walks through the process of finding the summation from k=1 to n of k to the cube and arrives at the conclusion that the sum is equal to T sub n squared, where T sub n is the nth triangular number. The lesson then introduces the telescoping property and applies it to finding the summation from k=1 to n of k. Finally, the lesson encourages students to practice using the telescoping property by trying to find the summation from k=1 to n of k squared.
Lesson Description:
Learn about the summation telescoping property and how it can be used to find summations.
Questions answered by this video:
- What is the summation telescoping property?
- How can you use the summation telescoping property to find sums?
- What is the formula for the sum of k^3 from k = 1 to n?
- How is the summation of k^3 related to triangular numbers?
- How can you find the summation from k = 1 to n of k using the summation telescoping property?
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Staff Review
This lesson is an incredibly important and useful property of summations. The summation telescoping property is an alternate way of finding summations of sequences. This property can be used for some summations that we already know, and for others that we have not yet found. This is a must-see lesson for finding sequence sums.
