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Mathematics / Arithmetic Progressions

Mathematics / Arithmetic Progressions

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}

Lessons
Topics
Lessons
Topics
    • Introduction to Arithmetic Progressions
    • Understanding Arithmetic Progressions with examples
    • nth Term of an AP
    • Sum of First n Terms of an AP
    • Review of Arithmetic Progressions
    • Sequences
    • Selection of Terms in an AP
  • Arithmetic Progression -- Summary

    Learnhive Lesson on Arithmetic Progression

    • Accessed by: 140 Students

    Arithematic Progression

    Learnhive Lesson on Arithematic Progression

    • Accessed by: 106 Students

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