arithmetic progression
Arithmetic progression of length , initial term and common difference is the sequence .
The sum of terms of an arithmetic progression can be computed using Gauss’s trick:
We just add the sum with itself written backwards, and the sum of each of the columns equals to . The sum is then
Title | arithmetic progression |
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Canonical name | ArithmeticProgression |
Date of creation | 2013-03-22 13:39:00 |
Last modified on | 2013-03-22 13:39:00 |
Owner | bbukh (348) |
Last modified by | bbukh (348) |
Numerical id | 10 |
Author | bbukh (348) |
Entry type | Definition |
Classification | msc 00A05 |
Classification | msc 11B25 |
Related topic | MulidimensionalArithmeticProgression |
Related topic | SumOfKthPowersOfTheFirstNPositiveIntegers |