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Mathematics / Progressions

Mathematics / 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}

Exercises
Topics
Exercises
Topics
  • Arithmetic Progressions -- SmartTest

    • Questions: 100
    • Sequence
    • Arithmetic progression and series
    • Harmonic progression
    • Geometric progression and series
    • Sum of Arithmetic series and Geometric series
    • Arithmetic, Harmonic and Geometric means

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