- Finite sequence
If the last term of a sequence is known then it is called a finite sequence. The idea
may be taught orally supported by relevant text material in Braille.
Eg. : 3, 6, 9, ..., 45 - Infinite sequence
If the last term of the sequence is not known then the sequence becomes an infinite
sequence.
Eg. : 5, 10, 15..., - Series
The sum of the terms of a sequence is called a series.
Eg. : 5 + 10 + 15 + ... + 50- Finite series
If the last term of the series is known it is a finite series. In other words a finite series
terminates at a particular term.
Eg. : 2 + 4 + 6 + ... + 100- Infinite series
If the last term of a series is not known then it is an infinite series. In other words,
an infinite series goes on and on.
Eg. : 4 + 8 + 12 + ...- Arithmetic Progression
A sequence in which the difference between any two consecutive terms is equal is
called an Arithmetic sequence or an Arithmetic progression, and is shortly denoted as
A.P.
Consider the Arithmetic Progression