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## Mathematics / Arithmetic Progression

### Mathematics / Arithmetic Progression

A sequence a1, a2, a3,...,an,... is called an arithmetic progression if there is a constant difference between each of the successive terms, i.e. :
a2 - a1 = d, a3 - a2 = d, ... an - an-1 = d.
'd' is called the common difference.

Arithmetic Progression is abbreviated as A.P.

The nth term of an A.P. can be determined using the following formula:
an = a + (n-1)d

The sum of the first n terms of an A.P. whose first term is 'a' and the common difference is 'd' can be obtained using the following formula :
Sn = n/2{2a + (n-1)d}

Exercises
Lessons
Topics
Exercises
Lessons
Topics
• ### Arithmetic Progressions -- SmartTest

• Questions: 100
• Introduction to Sequence
• Arithmetic Progression and Geometric Progression
• General term of an A.P. and G.P.
• Sum of the first 'n' terms of an A.P. and G.P.
• Arithmetic Mean and Geometric Mean
• ### Understanding Arithmetic Progressions ### Finding nth Term of an AP ### Arithmetic Progression -- Summary

Learnhive Lesson on Arithmetic Progression ### Arithematic Progression

Learnhive Lesson on Arithematic Progression