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Modern Arithmetic Methods and Problems

Modern Arithmetic Methods and Problems


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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated.1917 Excerpt: ... CHAPTER. XXVHI SERIES 282. Arithmetical and Geometrical Series. A few years ago the topics of arithmetical and geometrical series occupied an important position in the advanced grades of arithmetic. Today they are given a place in the appendix or omitted altogether. This is really unfortunate, because conditions are arising which would seem to make an understanding of series useful. In the first place, savings clubs, in which the members deposit 5, 10, 15 cents and so on weekly, are to be found all over the country. The total of these weekly deposits is the sum of an arithmetical series; regular monthly or yearly deposits offer a geometrical series for summation. Buying upon monthly or yearly payments also presents a series for solution. The arithmetical series is a good illustration of the use of average values. Geometrical series give an insight into the more advanced processes of mathematical reasoning and operations than the pupils can otherwise acquire in arithmetic. Especially does it show the summation of an infinite number of terms when the ratio is less than one, as in the case of 1+4+1++ It also shows the law governing such changes as the increase of population. 283. Forms of Series. Since many of the present day texts do not include the forms or the application of these series, they are offered here for use by the teacher who may desire to use them. r--l a = first term. I = last term. n = number of terms. S = sum of first n terms. J = difference between two consecutive terms in an arithmetical series. r = ratio between any term and the next preceding one in a geometrical series. Equal payment series: If a sum, A, is to be paid in n equal, yearly instalments, each, equaling p, .the rate of interest being r, then p will be found from the formula XX...


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Product Details
  • ISBN-13: 9781150274985
  • Publisher: General Books
  • Publisher Imprint: General Books
  • Height: 246 mm
  • No of Pages: 80
  • Spine Width: 4 mm
  • Width: 189 mm
  • ISBN-10: 1150274980
  • Publisher Date: 01 Feb 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 159 gr


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