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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
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 mathematic..
Sets
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Universal Set
In any application of the theory of sets, the members of all sets under consideration usually belong to some fixed large set called the universal set. Usually we denote the universal set by the letter..
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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