# Series and Sequences

We at ask-math believe that educational material should be free for everyone. Please use the content of this website for in-depth understanding of the concepts. Additionally, we have created and posted videos on our youtube.

We also offer One to One / Group Tutoring sessions / Homework help for Mathematics from Grade 4th to 12th for algebra, geometry, trigonometry, pre-calculus, and calculus for US, UK, Europe, South east Asia and UAE students.

Affiliations with Schools & Educational institutions are also welcome.

Please reach out to us on [email protected] / Whatsapp +919998367796 / Skype id: anitagovilkar.abhijit

We will be happy to post videos as per your requirements also. Do write to us.

Series and sequences : Arrangement of numbers in a definite order is called sequences and addition of such sequences is called series.
Sequences : A succession of numbers of which one number is designated as first, another as second, third and so on that gives us sequence.
In our daily life sequences are used in bank for fixed deposit, radioactive materials disintegrate in a sequence.
Sequences are such series in which there is always a relation between consecutive numbers. On the basis of this relation, there are three types of sequences : Arithmetic , Geometric and Harmonic sequences.
Sequences means the arrangement of numbers in a definite order according to some rule. We denote the terms of sequences as $a_{1},a_{2},a_{3},...a_{n}$ and $a_{1} + a_{2}+ a_{3}+...+ a_{n}$ are series. Subscripts denote the position of the term. nth term is the general term of the sequence.

## Examples on Series and Sequences

1) 2,4,6,8,10,12
Here, $a_{1}$ = 2
$a_{2}$ = 4
$a_{3}$ = 6
$a_{4}$ = 8
$a_{5}$ = 10
$a_{6}$ = 12
Here there are 6 terms