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..
Kinetic Theory of Gases
The word 'Kinetic' means due to motion. The Kinetic Theory of Gases is based on the idea that gases consist of atoms and molecules moving ceaselessly and randomly with all possible velocities in all directions. Each of these gas particles has certai..
Kinetic Molecular Theory of Gases
In order to explain the observed behaviour of gases, a model was proposed based on the molecular and kinetic concept of gas molecules. This model takes into account the particulate nature of matter and the constant movement of particl..
Kinetic Theory of Gases
All the molecules of a gas are identical with respect to their shape and mass. The molecules of different gases are differen..
Kinetic Theory of Matter
Kinetic Theory of Matter - This theory explains the physical properties of matter in terms of motion of its molecules. According to this theory, every substance (solid, liquid or gas) consists of a large number of minute particles called molecules ...
Result
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