concept sequence 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..

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..

Metals that are low in the activity series are very un-reactive. The oxides of these metals can be reduced to metals by heating alon..

Metals such as sodium, magnesium, calcium, aluminium high up in the reactivity series are very reactive and cannot be obtained from their compounds by heating with carbo..

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...

According to the assumptions of kinetic theory of gases, the free path traveled between two successive collisions will be a straight line with constant velocity. This means the path of a single gas molecule consists of a series of short zigzag path of different lengths. The mean of the l..

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 ..