Conclusion
In this chapter, we have seen how arranging numbers in orderly rows and columns under the guise of Matrices and Determinants, has helped to solve linear equations or find the area of a triangle. There are in fact other much wider applications in Science and Engineering and other fields...
Conclusion
In this chapter, we have learnt the application of permutations and combinations, the fundamental counting principle and relation between n C r and n P r..
Sequence
A set of numbers arranged in a definite order according to some definite rule is called a sequence. or A sequence is a function whose domain is the set N of natural numbers. It is customary to denote a sequence by a letter 'a' and the image a(n) or t(n), n N under ..
Matrices, Determinants Conclusion
Conclusion - We have seen the application of matrices and determinants in solving system of linear equation with three unknown variables. Matrices and determinants are also widely used in solving large system of linear equation. Some of these methods are Gauss-elimination method, Gauss-Jo..
Sequences and Series
A set of numbers arranged in a definite order according to some definite rule is called a sequence. A sequence is a function whose domain is the set N of natural numbers. Indicated sum of the terms in a sequence is called a series. The result of performing ..
Sequences and Series
Introduction - A set of numbers arranged in a definite order according to some definite rule is called a sequence..
Sequences and Series Examples
) A sequence may be described by giving a formula for its n t h term. (iii) A sequence may be described by specifying its first few terms and a formula to determine the other terms of the sequence in terms of its proceeding terms. A sequence is said to be a p..
Examples:
2, 5, 8, 11, 14 , 32 37, 33 , 1 A sequence is called infinite if the number of terms is infinite. An infinite sequence has no last term. In this sequence, every term is followed by a new ter..
Introduction
A set of numbers arranged in a definite order according to some definite rule is called a sequence..
Examples:
1, 3, 5, 7..... (adding 2 to every term) 1, 4, 16, 64 (Multiplying by 4 every term) 20, 17, 14 . (add -3 to every term) The different numbers in a sequence are called terms of sequence. The subscripts denote the position of the term. In the second example, 4 is the seco..
1, 3, 5, 7..... (adding 2 to every term) 1, 4, 16, 64 (Multiplying by 4 every term) 20, 17, 14 . (add -3 to every term) The different numbers in a sequence are called terms of sequence. The subscripts denote the position of the term. In the second example, 4 is the seco.. Result
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