Free Study Material For RRB Examination: Mathematics (Sequences & Series)


Free Study Material For RRB Examination

Subject : Mathematics (Sequences & Series)

Arithmetic Progression (AP)

  • If three terms are in AP, then they can be taken as (a – d), a, (a + d).

  • If four terms are in AP, then they can be taken as (a – 3d), (a – d), (a + d), (a + 3d).

  • If five terms are in AP, then they can be taken as (a – 2d), (a – d), a, (a + d), (a + 2d).

Geometric Progression (GP)

A geometric progression is a sequence in which terms increase or decrease by a constant ratio called the common ratio.

(i) The sequence 1, 3, 9, 27, 81…is a geometric progression whose first term is 1 and common ratio 3.


Harmonic Progression (HP)

If the reciprocals of the terms of a series form an arithmetic progression, then the series is called a harmonic progression.


 

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