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# What is Arithmetic Sequences and series ?

`Arithmetic sequences and series`

A Sequence is the list of numbers written in a particular order following a pattern. A Series is the sum of the list of the numbers written in the specific order in a sequence. The sequence and series can have numbers extending up till infinity and they are called infinite sequence and infinite series.

General Sequence:

Example:

Write down the first few terms of the infinite sequence:

{n+3 /n2 }n=1

n=1 means that the sequence is starting from 1st number and going till infinity                              ->  the expression value by substituting n=1,2,3,…!

When n=1, (n+3)/n2 =(1+3)/12  -> 4

When n=2, (n+3)/n2 =(2+3)/22  -> 5/4

When n=3, (n+3)/n2 =(3+3)/32  -> 6/9

So the sequence goes like

{n+3 /n2 }n=1 ={4,5/4,6/9,………..}

General Series:

Example:

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