Introduction
A set of numbers arranged in a definite order according to some definite rule is called a sequenc..
Introduction
A set of numbers arranged in a definite order according to some definite rule is called a sequence . Sequences have wide applications. For example, the amount of money in a fixed deposit in a bank, over a number of years increases in a sequenc..
Sequences and Series
Sequence : 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. Series : Indicated sum of the terms in a sequence is called a series. The result of performi..
Elementary Transformation
Elementary transformations are of the following three types: Interchange of any two rows (or columns) The multiplication of the elements of a row (or column) by a non-zero number. The addition to the elements of any row (or column) the corresponding elements of any other row (or column) mu..
Sequences and Series
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 'a' by a n or..
Sequences and Series Summary
Summary - (i) Let X be a set of numbers and f : N n X be a function, then the ordered set {f(1), f(2),...., f(n)} is called a finite sequence in X. (ii) Let X be a set of numbers and f : N X be a function, then the ordered set {f(1), f(2),....} is called an infinite sequence in X. If {T n } is a se..
Vital Theories
According to vital theories upward movement of water takes place due to activity of living cells of plant bordering xylem. It is explained with the help of two theories: Godlewsk's relay pump theory Pulsation theory..
Mutation Theory
Since Darwin's theory failed to explain certain facts, particularly the source of variations, several scientists started looking for bridging the lacuna in the theory. One such effort is the mutation theory proposed by Victor Hugo DeVries in 1902. According ..
Pangenesis Theory
Charles Darwin proposed the theory of Pangenesis, according to which tiny particles are formed in different parts of the body. These particles migrate to the gametes and from there to the offspring where they guide the formation of the respective parts. Darwin, called these par..
Charles Darwin proposed the theory of Pangenesis, according to which tiny particles are formed in different parts of the body. These particles migrate to the gametes and from there to the offspring where they guide the formation of the respective parts. Darwin, called these par..Nature of Light - Theories
Nature of Light - Theories - Light is a form of energy. Energy can be transferred from one point to another point either by particle motion or by wave motion. Accordingly, different theories on the nature of light have been proposed. The important theories ar..
Result
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