What is Number Series?
Number series is a arrangement of numbers in a certain order, where some numbers are wrongly put into the series of numbers and some number is missing in that series, we need to observe and find the accurate number to the series of numbers.
Different types of Number Series
There are some format of series which are given in Exams.
Perfect Square Series:
This Types of Series are based on square of a number which is in same order and one square number is missing in that given series.
Example 1: 441, 484, 529, 576?
Answer: 441 = 21^{2}, 484 = 22^{2}, 529 = 23^{2}, 576 = 24^{2} , 625 = 25^{2}.
Perfect Cube Series:
This Types of Series are based on cube of a number which is in same order and one cube number is missing in that given series
Example 2: 1331, 1728, 2197, ?
Answer : 11^{3} , 12^{3} , 13^{3} , 14^{3}
Geometric Series:
This type of series are based on ascending or descending order of numbers and each successive number is obtain by multiplying or dividing the previous number with a fixed number.
Example 3: 5, 45, 405, 3645,?
Answer: 5 x 9 = 45, 45 x 9 = 405, 405 x 9 = 3645, 3645 x 9 = 32805.
Two stage Type Series:
A two tier Arithmetic series is one in which the differences of successive numbers themselves form an arithmetic series.
Example 4: i. 3, 9, 18, 35, 58,——
ii. 6, 9, 17, 23,———-
Mixed Series:
This type of series are more than one different order are given in a series which arranged in alternatively in a single series or created according to any non-conventional rule. This mixed series Examples are describes in separately.
Examples 5:
11, 24, 50, 102, 206, ?
Answer:
11 x 2 = 22 +2 = 24,
24 x 2 = 48 + 2 = 50,
50 x 2 = 100 + 2 = 102,
102 x 2 = 204 + 2 = 206,
206 x 2 = 412 + 2 = 414.
So the missing number is 414.