Arithmetic Progression
Topic -1 Sequence & Its Types
Quick Review –
Ø Sequence : A Sequence is a collection of numbers arranged in a definite order according to some definite rule.
Example :
(i) 1, 4, 9, 16, ……(Collection of Perfect squares of Natural numbers)
(ii) 1, 3, 5, 7, …….(Collection of Positive odd Integers)
(iii) −2, − 4, − 6, …..(Collection of Negative even Integers)
Ø Types of Sequence :
(a) Finite Sequence :
If the number of terms in a sequence is finite (Countable), i.e.,
if there is an end of terms in the
sequence, then it is called a finite sequence.
e.g., : 1, 2, 3, ….. 20.
(b) Infinite Sequence :
If the number of terms in a sequence is infinite, then it is called an infinite sequence.
e.g., : 1, 3, 5, 7, ………..