An arithmetic sequence is a sequence in which the difference between each consecutive term is constant. An arithmetic sequence can be defined by an explicit formula

**a _{n} = d (n - 1) + a1 **

where d is the common difference between consecutive terms and a1 is the first term in the sequence.

**Examples: **For the sequence

1, 4, 7, 10, 13, 16…….

This sequence has a difference of 3 between each number. Therefore,

D = 3 and a1 = 1

Thus, the formula for the series is

a_{n} = 3(n – 1) + 1

= 3n – 3 + 1

a_{n} = 3n – 2

The sum of an infinite arithmetic sequence is either ∞ , if

d > 0 , or - ∞ , if d < 0 .

There are two ways to find the sum of a finite arithmetic sequence. In the first method, the value of the first term **a1** should be known and the value of the last term **an** as well. Then, the sum of the first **n **terms of the arithmetic sequence is

**S _{n}**

**2**

To use the second method, you must know the value of the first term **a 1** and the common difference **d **. Then, the sum of the first **n** terms of an arithmetic sequence is

**S _{n}**

** 2**

**To Schedule a Arithmetic Sequences tutoring session click here
To submit Arithmetic Sequences assignment click here.**

Basic Subject

Computer Science

- Programming Assignment Help
- Database Help
- Data Structure Assignment Help
- Operating Systems Assignment Help
- Computer Network Assignment Help
- UML Diagram Assignment Help
- IT Assignment Help
- Game Programming
- Computer Science Assignment Help
- Medical Science Assignment Help
- Social Science Assignment Help
- Information Systems

Engineering

- Biochemical and Biotechnology Help
- Chemical Engineering Assignment
- Statistics Assignment Help
- Civil Engineering Assignment Help
- Electrical, Electronics Help
- Mathematics, Computing Assignment Help
- Mechanical and Industrial Engg. Help
- Petroleum Engg. Assignment Help
- Biochemistry Assignment Help
- Cell Biology Assignment Help
- Arts and Architecture Help
- Silverlight Assignment Help