telescoping sum
A telescoping sum is a sum in which cancellation occurs between subsequent terms, allowing the sum to be expressed using only the initial and final terms.
Formally a telescoping sum is or can be rewritten in the form
where is a sequence.
Example:
Title | telescoping sum |
---|---|
Canonical name | TelescopingSum |
Date of creation | 2013-03-22 14:25:18 |
Last modified on | 2013-03-22 14:25:18 |
Owner | cvalente (11260) |
Last modified by | cvalente (11260) |
Numerical id | 8 |
Author | cvalente (11260) |
Entry type | Definition |
Classification | msc 40A05 |
Defines | telescope |