Number Series
Number Series is a sequence formed out of numbers. In the number series questions, we will have to detect the rules that result in the formation of a number series. These series are of many kinds and so are the questions that may appear from these topics. Below we have a complete exhaustive collection of all the concepts and types of questions. Let us see below!
Let us begin our understanding of the Number Series various types and the concepts that are most expected in the TNPSC,SSC,BANK, IBPS PO, SO, SBI Cleric and other similar Compitative exams.
Types of Number Series
Prime Series:
Its one of the type of Number Series.Find next term based on prime numbers.
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| First 100 Prime Numbers |
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Addition Series:
Addition function between the numbers.
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Difference Series:
Difference function between the numbers.
Multiple Series:
Multiply function between the numbers.
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Division Series:
Division function between the numbers.
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Perfect Square Series:
A number is a perfect square if we get it by taking the square of an integer number. In other words, we can say that if we square an Integer, the resulting number will always be a perfect Square.A square number is simplifying the product of an integer with itself. Square numbers are always positive; the formula represents a square number of series
x n = n2
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| First 30 Square Numbers |
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Square + 1 Series:
Square function between the numbers.
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Square - 1 Series:
Square function between the numbers.
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Square function between the numbers.
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Square - N Series:
Square function between the numbers.
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Perfect Cube Series:
In the perfect cube series, each term of the series is the perfect cube of some number. These numbers whose cubes form the series are also arranged in the form of a sequence. In this way, you can get a two-stage type perfect cube series.Let us begin the study of the perfect cube series.
Cube number series is a series generated by the multiplication of
a number 3 times by itself. The general formula for cube number series is:
x n = n3
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Cube + 1 Series:
Cube function between the numbers.
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Cube function between the numbers.
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Cube + N Series:
Cube function between the numbers.
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Cube - N Series:
Cube function between the numbers.
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Alternating Series: (Mixed Series)
The
concept of mixed series is central to the number series in many exams. In a
mixed series, more than one arithmetic operations are part of the rule
according to which the series is formed. For example, a rule that has addition,
subtraction and even one more operation as part of the rule that forms the series, is a
mixed series. Let us begin!
Arithmetic Series:
This is a type of number sequence where the next
term is found by adding a constant value to its predecessor. When the first
term, denoted as x1, and d is the common difference between two consecutive terms, the sequence is generalized in the following formula:
xn = x1 + (n-1) d
where;
- xn is the nth term,
- x1 is the first term,
- n is the number of terms
- d is the common difference between two consecutive terms.
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Geometic Series:
The geometric series is a number series where the following or
next number is obtained by multiplying the previous number by constant known as
the common ratio. The geometric number series is generalized in the formula:
xn = x1 ×
rn-1
where;
- x n = nth term,
- x1 = the first term,
- r =common ratio,
- n = number of terms.