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Set of question and answer on Number Theory
Question 1 - Question: For the given sequence, suggest possible next three terms and find the general term. 7, 11, 15,---- Answer: First term = 7, Common Difference = 11 - 7 = 15 - 11 = 4 Next three terms are 15 + 4 = 19, 19 + 4 = 23, 23 + 4 = ..
Sets
In mathematics , a well-defined collection of definite objects is called a set. George Cantor is regarded as the "Father of Set theory". The concept of "Sets" is basic in all branches of mathematics . Important terms in Sets are:..
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Sets Introduction
Introduction - In Mathematics, a well-defined collection of definite objects is called a set. George Cantor is regarded as the "Father of Set theory". The concept of "Sets" is basic in all branches of mathematics. It has proved to be of particular importance ..
Union of sets
If two sets are given, a set can be formed by using all the elements of the two sets. Such a collection is called the union of the given sets..
Operations on Sets
The Operations on Sets are: Union of sets, Intersection of sets, Disjoint sets, Difference of two sets (Relative complement), Symmetric Difference of two sets, Complement of a set..
Equivalent Sets
Two finite sets A and B are said to be equivalent sets if cardinality of both sets are equal i.e. n (A) = n (B..
Cardinality of a Set A
The number of elements in a finite set A, is the cardinality of A and is denoted by n(A..
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