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We will look at three types of progressions called Arithmetic, Geometric and Harmonic Progression. Before we start looking at the intricacies of these let us understand what is meant by series. A series is a collection of numbers which may or may not terminate at some point. The first set of series that terminate is called finite series and the second one that do not terminate is called infinite series. In the theoretical sense an infinite series conveys that the number of elements in the series are so large that it is practically uncountable. Generally, series are expressed in an abridged form in terms of a general term known as nth term. Therefore, given a series we can obtain its nth term or else given an nth term we can obtain the different elements of that series. For example, consider a simple nth term which is:
If we substitute n = 1, the value of Tn=1 will be
If we substitute n = 2, the value of Tn=2 will be
If we continue to substitute different values for n, like we did above, we get different values of this particular series. This is an example of infinite series, whereas a series like 1, 2, 3, 4, 5, 6 is an example of finite series. The general term is given by Tn = n + 1, where n takes values from 0 to 5. After looking at these two examples we find that a series is finite or infinite depending on the values taken by n. In other words, a series terminates depending on the extent of values taken by n.
Find a minimum cost spanning arborescence rooted at r for the digraph shown below, using the final algorithm shown in class. Please show your work, and also give a final diagram w
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How would you solve this question? 4/5 = 8/x+2
Expected Value of Perfect Information In the above problems we have used the expected value criterion to evaluate the decisions under the conditions of risk. But, as long as un
How the property AM>or = GM used to get minimum value of the function......e,g for what condition of a and b does minimum value of a tan^2 x + b cot^2 x equals maximum value of a
how to explain this strategy? how to do this strategy in solving a problem? can you give some example on how to solve this kind of strategy.
Lucy's Lunch is sending out flyers and pays a bulk rate of 14.9 cents per piece of mail. If she mails 1,500 flyers, what will she pay? Multiply the price per piece through the
Example of Linear Equations: Solve the equation 2x + 9 = 3(x + 4). Solution: Step 1. Using Axiom 2, subtract 3x and 9 from both sides of the equation. 2x + 9 = 3(
conclusion for the shares nd dividends
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