Successive Differences of Sequences
Initializing live version

Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
Let be a sequence of numbers
. In this Demonstration the sequences are named integer sequences.
Contributed by: George Beck (March 2011)
Open content licensed under CC BY-NC-SA
Snapshots
Details
The sequence is often written more compactly as
, in analogy with
, the infinite sum of the sequence
. The notions of sequence and series are related but often mixed up by beginners; sequences are indexed sets of numbers and series add them up. Of course, the sums of integer sequences such as the ones in this Demonstration do not converge in the usual sense.
Permanent Citation