Number System : Arithmetic Progression and Geometric Progression

Arithmetic Progression and Geometric Progression

Hello Friends! 

Under this post " Number System: Arithmetic Progression and Geometric Progression " we will see arithmetic progression and geometric progression, formula used for AP and GP and types of questions asked in competitive exams.

1) Geometric Progression / Geometric Series / Geometric Sequence : x, xr, xr2xr3, xr4, --- are said to be in geometric progression. Here, a is first term and r is common ratio. 


a) nth term = xr (n -1)

b) Sum of n terms =x (1 – rn), here r < 1
(1 – r)
c) Sum of n terms =x (rn – 1), here r > 1
(r – 1)

2) Arithmetic Progression / Arithmetic Series / Arithmetic Sequence : x, x + y, x + 2y, x + 3y are said to be in A.P. Here x is first term and common difference is y.


a) nth term = x + (n – 1) y
b) Sum of n terms =n[2x + (n – 1)y]
2


3) 1 + 2 + 3 +- - - - + n =n(n + 1)
2


4) (12 + 22 + 32 - - - - + n2) =n(n + 1) (2n + 1)
6


5) (13 + 23 + 33 - - - - + n3) =n(n + 1)2
2
At last, A special thanks to choose LOUD STUDY.

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