SL TYPE 1-LACSAP’S FRACTIONS * INTRODUCTION This investigation is going to do research patterns relates to the Lacsap’s Fractions. For its external structure‚ Lacsap’s Fraction is analogous to Pascal’s Triangle. Lacsap’s Fraction presents the way of generating and organizing the binomial coefficients. Within this investigation‚ the work is planning to be divided into two parts. In the first part‚ the content will relate to the pattern of numerators. In the second part‚ I am going to do the
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Questionbank Topic 1. Sequences and Series‚ Exponentials and The Binomial Theorem 1. Find the sum of the arithmetic series 17 + 27 + 37 +...+ 417. 2. Find the coefficient of x5 in the expansion of (3x – 2)8. 3. An arithmetic series has five terms. The first term is 2 and the last term is 32. Find the sum of the series. 4. Find the coefficient of a3b4 in the expansion of (5a + b)7. 5. Solve the equation 43x–1 = 1.5625 × 10–2. 6. In an arithmetic sequence‚ the first term is 5 and the
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found that the Fibonacci numbers appear anywhere from leafs on plants‚ patterns of flowers‚ in fruits‚ some animals‚ even in the human body. Could this be nature’s numbering system? For those who are unfamiliar with the Fibonacci numbers they are a series of numbers discovered by Leonardo Fibonacci in the 12th century in an experiment with rabbits. The order goes as follows: 1‚ 1‚ 2‚ 3‚ 5‚ 8‚ 13‚ 21‚ 34‚ 55‚ 89‚ 144‚ 233‚ 377‚ 610 and so on. Starting with 1‚ each new number is simply the sum of the
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In Lacsap’s Fractions‚ En(r) refers to the (r+1)th term in the nth row. The numerator and denominator are found separately‚ therefore to find the general statement‚ two different equations‚ one for the numerator and one for the denominator‚ must be found. Let M=numerator and let D=denominator so that En(r) = M/D. To find the numerator for any number of Lacsap’s Fractions‚ an equation must be made that uses the row number to find the numerator. Because the numerator changes depending on the row
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Population Trends in China The goal of this mathematical study is to explore the different functions that best model the population of China from the years 1950 to 1995. Year | 1950 | 1955 | 1960 | 1965 | 1970 | 1975 | 1980 | 1985 | 1990 | 1995 | Population in Millions | 554.8 | 609.0 | 657.5 | 729.2 | 830.7 | 927.8 | 998.9 | 1070.0 | 1155.3 | 1220.5 | Using the Chinese population data from 1950 to 1995‚ let us construct a graph using technology. Before graphing the data though‚ we must
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Trương Thành Nam Hướng dẫn: Ths. Đặng Thị Bích Thảo MSSV: 1400056 Essay project 2 Pierre Robin Sequence Introduction : Pierre Robin sequence (PRS) is a rare congenital defect‚ which was first described by Lannelongue Menard in 1891 as Pierre Robin syndrome. The word “syndrome” then was replaced by “sequence” because the pathogenesis of the condition occurs through a chain of events. The sequence include small jaw (micrognathia)‚ displacement of the tongue (glossoptosis) which consequence to airway
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Sequence stratigraphy Sequence stratigraphy is a method of stratigraphic interpretation that combines the chronological order of the accumulation of sediments‚ their stratal architecture and the geometric relationships of their facies to determine depositional setting and predict stratal continuity. The workflow of sequence stratigraphic analysis first identifies the genetic units and bounding surfaces that compose the stratigraphic section in outcrop‚ core‚ well-log and seismic data. The framework
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1. Be very particular about the subject you choose for prelims‚ as you will be appearing for an objective type of paper. History‚ maths‚ geography may prove to be very scoring. Choose subjects which have availability of books‚ reading material and guidance. In recent years engineering subjects like civil and electrical can be chosen‚ giving BEs and IITians an edge (yes! even here they are giving the BAs and BScs a tough fight!)(more content follows the advertisement below) A D V E R T I S E M E
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Fibonacci Sequence Fibonacci‚ also known as the Leonardo of Pisa‚ born in the early 1770’s AD in Pisa‚ Italy‚ has had a huge impact on today’s math‚ and is used in everyday jobs all over the world. After living with his dad‚ a North African educator‚ he discovered these ways of math by traveling along the Mediterranean Coast learning their ways of math. With the inspiration from the “Hindu-Arabic” numerical system‚ Fibonacci created the 0-9 number system we still use to this day. One of his
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ROUND -1 SEATING ARRANGMENT 1. | A‚ P‚ R‚ X‚ S and Z are sitting in a row. S and Z are in the centre. A and P are at the ends. R is sitting to the left of A. Who is to the right of P ? | | A. | A | B. | X | C. | S | D. | Z | 1. Answer: Option BExplanation:The seating arrangement is as follows:Therefore‚ right of P is X. | 2. | There are 8 houses in a line and in each house only one boy lives with the conditions as given below: 1. Jack is not the neighbour Siman. 2. Harry is just next
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