Telescoping Sum

By Kardi Teknomo, PhD .

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What is Telescoping Sum?

Telescoping sum is one of very useful summation properties. Telescoping sum simplify our summation because it says that sum of a difference is equal to the last and first term only, not depending on the middle terms.

Example

Example

Suppose we have a sequence of numbers then we can put index on the sequence such that , , , , , and we want to compute the sum of difference

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See Also: Kardi Teknomo's Tutorial

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Preferable reference for this tutorial is

Teknomo, Kardi (2015) Summation Tutorial. http://people.revoledu.com/kardi/tutorial/BasicMath/Sum/