Sequence

A succession of numbers arranged in a definite order according to a certain given rule is called a sequence. A sequence is said to be finite or infinite according to the number of terms in it is finite or infinite respectively.

Example: For a given rule a_n = (2n + 1), the sequence is

     So, a₁ = (2*1+1) = 3; a₂ = (2*2+1) = 5...so on

     The sequence is 3, 5, 7, 9, 11, ...

Series 

Adding the terms of a sequence, we get a series. A series is said to be finite or infinite according as the number of terms in it is finite or infinite respectively.

The series for the above example is 3+5+7+9+11+... 

Sub Category