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
Premium Number Mathematics
Math SL Investigation Type 2 Stellar Numbers This is an investigation about stellar numbers‚ it involves geometric shapes which form special number patterns. The simplest of these is that of the square numbers (1‚ 4‚ 9‚ 16‚ 25 etc…) The diagram below shows the stellar triangular numbers until the 6th triangle. The next three numbers after T5 would be: 21‚ 28‚ and 36. A general statement for nth triangular numbers in terms of n is: The 6-stellar star‚ where there are 6 vertices‚ has
Premium Equals sign Arithmetic Mathematics
It’s A Hard Mob Wive For Us Since the 1940s when the first black and white television was invented and only the wealthy‚ affluent families could afford it – the act of watching a pre-programmed show such as Father Knows Best or even a live showing of the Channel Four News became a phenomenon. Society has evolved around the television. Imagine having a family room where the couches do not face the TV‚ or having to read the newspaper every morning instead of flicking on the nice flat screen and watching
Free Reality television Television program Television
European Accounting Review Vol. 19‚ No. 3‚ 461– 493‚ 2010 Fair Value or Cost Model? Drivers of Choice for IAS 40 in the Real Estate Industry A. QUAGLI∗ and F. AVALLONE∗∗ ∗ Department of Accounting and Business Studies (DITEA)‚ University of Genova‚ Genova‚ Italy and ∗ ∗ Department of Computer and Management Science (DISA)‚ University of Trento‚ Trento‚ Italy (Received September 2008; accepted February 2010) ABSTRACT The IFRS mandatory adoption in European countries is an excellent
Premium Cost accounting Costs Generally Accepted Accounting Principles
Aim: To calculate the enthalpy change of neutralization of the given pairs of acid and base. Theory: When alkali neutralizes an acid‚ a salt and water are formed. Aqueous hydrogen ions‚ H+(aq) from the acid react with the hydroxide ions‚ OH-(aq) from the alkali‚ forming water. Ionic equation: H+ (aq)+OH- (aq) → H2O (l) The identity of the salt will depend on the nature of the acid and alkali used. The combination of H+ and OH- ions in this way releases energy. In this practical‚ the enthalpy
Premium Sodium hydroxide Thermodynamics
Predictability of Social Media Usage to Grade Averages IB Math Studies Spring 2013 Table of Contents: Introduction/Purpose……………………………………………………………..p.3 Data Collection Method……………………………………………………….....p. 3 - 4 Data Analysis: Chi-Squared Statistic Frequency Table…………………………………………………………p. 4 - 5 Contingency Table……………………………………………………….p. 5 – 6 Chi – Squared Statistic…………………………………………………...p. 7 Degrees of Freedom………………………………………………………p. 7 Critical Value……………………………………………………………
Premium Null hypothesis Statistical hypothesis testing Hypothesis
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
Premium Number
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
Premium Polynomial Logistic function Population growth
Internal Assessment IB Physics-7 Mr. Parent 14 January 2012 I. Design • Purpose: o To determine how the surface area of a coffee filter affects the average velocity of the coffee filter from the same height. • Variables: o Independent Variable ▪ Surface area- The area of the surface after the folds have been made o Dependent Variable ▪ The Average velocity- calculated by measuring the time and dividing by
Premium Area Surface area
Lacsap’s Fractions IB Math SL Internal Assessment Paper 1 Lacsap’s Fractions Lacsap is Pascal spelled backward. Therefore‚ Pascal’s Triangle can be used practically especially with this diagram. (Diagram 1) This diagram is of Pascal’s Triangle and shows the relationship of the row number‚ n‚ and the diagonal columns‚ r. This is evident in Lacsap’s Fractions as well‚ and can be used to help understand some of the following questions. Solutions Describe how to find
Premium Medicine Management Investment