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Different types of number series Εxamples with detailed explanations methodologies tips and tricks.
Squares: When numbers are a series of perfect squares.
For example: 81, 100, 121, 144, 169...
81=9^2 100=10^2 121=11^2 144=12^2 169=13^2
The numbers of series are perfect squares of 9, 10, 11, 12,....
Cubes: When the numbers are a series of perfect cubes.
For example: 512, 729, 1000...
512=8^3 729=9^3 1000=10^3
The numbers of series are perfect cubes of 8, 9, 10,...
Examples
Example 1
9, 25, 49, 81, ?
9=3² 25=5² 49=7² 81=9²
Theese are the perfect squares of number series
3, 5, 7, 9, 11,...
The next term is 11² = 121
Example 2
In the sequence one of the term is wrong
3600, 8100, 14200, 22500
Select the option that has his number.
A. 22.500 B. 14200 C.8100 D.3600
3600= 60^2
8100=90^2
22500=150^2
14200 it is not a square of any nunber
S0 correct answer is B
*The correct number is 14400
All the terms of series are perfect squares of series
60, 90, 120, 150
Example 3
In the sequence one of the term is wrong
8000, 27000, 54000, 125000
Select the option that has his number.
A. 27.000 B. 54000 C 8000 D 125000.
The first digit in each term is a cube of some number .
27=3³
8=2³
125=5³
54 its't the cube of any number
So correct answer is B.
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