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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.
What is Multiplying Fractions ? The rule for multiplying fractions is to "multiply across": Multiply the numerators to get the numerator of the answer. Multiply the den
3x+3/x2 -6x+5
I have a maths assignment as- Use a newspaper to study and give a report on shares and dividends.
Two trains leave the same city at the same time, one going east and the other going west. If one train is traveling at 65 mph and the other at 72 mph, how many hours will it take f
Refer the poset ({1}, {2}, {4}, {1,2}, {1,4}, {2,4}, {3,4}, {1,3,4}, {2,3,4}, ≤ ). (i) Find out the maximal elements. (ii) Find out the minimal elements. (iii) Is ther
some experts estimate that the cost of education in the US increases by 6% p.a. An Ivy League college currently costs $24,502 for one year''s study today. Using compound interest r
example #Minimum 100 words accepted#
how does proportionality work
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Two circles touch externally. The sum of their areas is 58 π cm 2 and the distance between their centres is 10 cm. Find the radii of the two circles. (Ans:7cm, 3cm) Ans:
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