infinite series power series


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Sequences and Series Examples
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..
Series
Indicated sum of the terms in a sequence is called a series. The result of performing the additions is the sum of the series...
Features of the electrochemical series (Activity series)
In the electrochemical series the elements that are lower in the series get discharged (lose their charge to become neutral) more easily than the ones above them. Hydrogen is also included as a reference point in the series. The electropositive power ..
Average Power Associated with LCR Circuit in Series
In an electrical circuit, energy is supplied by the source of EMF, stored by the capacitive and inductive elements and dissipated in resistive elements. Conservation of energy requires that, at any particular time, the rate at which energy is supplied by the source of EMF must equal the rate at whi..
Significance of the electrochemical series (Activity series)
This series is an important tool that helps in predicting many electrochemical reactions. All metals placed above hydrogen will displace hydrogen from acids while those below it do not displace hydrogen from acids. Elements with high electropositive or electronegative power..
The sum of an infinite geometric series is 36 times the first term. Wh..
The sum of an infinite geometric series is 36 times the first term. What is its common ratio? => 1 35 or 35 36 or 36 35 or 1 36..
The sum of an infinite geometric series is 12 times the first term. Wh..
The sum of an infinite geometric series is 12 times the first term. What is its common ratio? => 12 11 or 1 12 or 1 11 or 11 12..
Sum of an infinite geometric series is 363, whose first term is 33. Fi..
Sum of an infinite geometric series is 363, whose first term is 33. Find the common ratio of the series. => 11 10 or 1 10 or 10 11 or 1 11..
Exponential and Logarithmic Series
Introduction - In this chapter, we shall study two series known as the Exponential series and Logarithmic series. In our discussion, we shall make use of mathematical tools like formula for sum of an infinite G.P., combinatorial coefficient..
Application of Electrochemical Series [ECS]
Application of Electrochemical Series [ECS] - 1) Higher the SRP, greater is the tendency to accept e - , higher is the tendency to get reduced and greater is the oxidizing power. Fluorine system (F 2 /F) - has the highest SRP and hence it possesses highest oxidising power..
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