**Introduction**

**Arithmetic Progression**, Generally called as **AP** is a set of numbers which are having constant difference between their consecutive numbers. In other way we can say – A list of numbers having specific relation between the consecutive terms is generally called a sequence.

Ex. The sequence 5, 7, 9, 11, 13, 15 … is an arithmetic progression with *common difference* of 2.

## Formulas at a Glance

If

is the first term of an arithmetic progression.

is the nth term of an arithmetic progression.

is the difference between terms of the arithmetic progression.

is the number of terms in the arithmetic progression.

is the sum of n terms in the arithmetic progression.

is the mean value of arithmetic series.

then

- 1.

- 2.

- 3.

- 4.

- 5. n ¯ =

- 6.

**Important Facts**

There are many important facts about AP, please find below –

- The general form of Arithmetic progression is
**a, a+d, a+2d, a+3d,……….,a+(n-1)d**

Where **a** = First Term in the list,** d** = Common Difference

- Common Difference (
**d**) can obtain by subtracting number from the list with it’s immediate previous number. like Series**a1, a2, a3, a4,………………………….**have common difference as**(a2-a1).**

d= (a3-a2)

Ex. Series **1,3,5,7,9….** is having common difference as **2**.

**Tutorial Video(s)**

**Part1**

**Exercise 1**

**Video Explain above Exercise**

**Exercise 2
**

**Video Explain above Exercise**

**Sum Of AP**

This section contain information about summation of Arithmetic Progression, Please follow below videos –

Very good tutorial and easy to understand… Keep it up… Good luck

What is the least number of terms required for the sum less than (-500) to be formed in this arithmetic progression when its first term is 1 and Common difference is (-2)?

What is the least number of terms required for the sum less than (-500) to be formed in this (3-2 k) rithmetic progression when its first term is 1 and Common difference is (-2)?

least term will be 23 term…