conclusion sequence and series

. Transition State explains the rate of reaction in term of formation of a transition state of reacting molecules. The formation of transition state requires energy of activation. Transition state theory connects kinetic rates with thermodynamic properties of reactants and the transition state. The..

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..

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 p..

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..

Introduction - A set of numbers arranged in a definite order according to some definite rule is called a sequence..

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 sequence..

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 ..

Indicated sum of the terms in a sequence is called a series. The result of performing the additions is the sum of the series...

Aristotle, the great ancient philosopher performed some experiments to study the speed of freely falling objects. He observed that when two bodies of different masses were dropped simultaneously from the same height, the heavier object reached the Earth's surface earlier than the lighter one and he..

Which of the following are true for the series ∑ n=1 ∞ (- 1) n sin ( π n ) ? I. lim n → ∞ sin ( π n ) = 0 II. {sin ( π n )} is a decreasing sequence III. The series is convergent by the Alternating Series Test IV. Alternating ..