Arithmetic Progression

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, ………..