Introduction: In this internal assessment‚ we will investigate a set of numbers that are presented in a symmetrical pattern. 5 rows of numbers are given in a shape of a triangle‚ therefore a connection can be made to Pascal’s triangle. Another hint can also easily be noticed as Lacsap is exactly the backwards of Pascal. The goal of the investigation is to find the general statement En(r)‚ where En(r) is the (r+1)th element in the nth row‚ starting with r=0. An example of this would be . In order
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IB Maths SL TYPE I Lacsap’s Fractions Portfolio Lacsap’s fraction Introduction: Lacsap’s fraction is a symmetrical triangle that has the following pattern in the first five rows The shape is similar to Pascal triangle. It has the same quantity of symmetrical triangle as Pascal triangle. And Lacsap is the inverse alphabet order of Pascal. These make me think about Pascal triangle and I made an assumption that elements in Lacsap triangle may have the same relationship as in Pascal triangle
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institutions require remedial math. network and technical schools report the greatest boom in need for remediation. it’s miles clean that high faculty path-taking effects the want for remediation‚ and that the rigor and content material of the guides depend greater than the name. these statistics make it clear that many high faculty math courses are definitely no longer rigorous enough to prepare college students appropriately for college-stage work. In a look at that examined math route-taking and later
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Practice Math IA • Each set of steps above is composed of 1x1 squares • Show what 4 steps and 5 steps look like • ‘n’ represents the number of steps • Find the area for n= 1‚2‚3‚4‚5 Step 1: Step 2: Step 3: Step 4: Step 5: 12 = 1 12 x 3 = 3 1 2 x6 = 6 1 2x10 = 10 12x 15 =15 |Steps (n) |Area
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1 1 1 32 1 1 64 64 1 1 107 106 107 1 1 1511 159 159 1511 1 The aim of this task is to find the general statement for En(r). Let En(r) be the element in the nth row‚ starting with r = 0. First to find the numerator of the sixth row‚ the pattern for the numerator for the first five rows is observed. Since the numerator is the same in each row (not counting
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1 Introduction. Let us consider a triangle of fractions: Obviously‚ the numbers are following some pattern. In this investigation we will try to explain the theory behind this arrangement and to find a general relation between the element’s number and its value. The pattern above is called a Lacsap’s Triangle‚ which inevitably hints at its relation to another arrangement - Pascal’s Triangle (as Lacsap appears to be an anagram of Pascal). The algorithm behind it is very simple: each element
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room on the eighth floor of the Asch Building‚ in Washington Place‚ at 4.40 o’clock on the afternoon of Saturday‚ March 25‚ when I heard somebody cry ‘Fire!’” Unlike those on the ninth and tenth floors (the other two floors that our factory‚ the Triangle Waist Company‚ occupied)‚ I did not climb out of exterior windows in desperation; I was kindly shown to a window in a crash door that I could fit through in order to climb downstairs. Instead of passing through the flames as many of my coworkers
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The Bermuda Triangle‚ also known as the Devil ’s Triangle‚ is a region in the western part of the North Atlantic Ocean in which a number of aircraft and surface vessels are alleged to have disappeared in mysterious circumstances which fall beyond the boundaries of human error‚ piracy‚ equipment failure‚ or natural disasters. Popular culture has attributed some of these disappearances to the paranormal‚ a suspension of the laws of physics‚ or activity by extraterrestrial beings.[1] While a substantial
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The Bermuda Triangle‚ also known as the Devil’s triangle is said to be one of the most dangerous and mysterious areas of the ocean known to man. It has been held responsible for the disappearances of over 2000 vessels‚ 75 airplanes and many innocent lives in the past 3 centuries. But the question is how? What really happened in this deadly body of water? There are many theories about what is going on in the Bermuda Triangle. From human error‚ to the lost city of Atlantis all the way to paranormal
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The Bermuda Triangle‚ also known as the Devil ’s Triangle‚ is a region in the western part of the North Atlantic Ocean where a number of aircraft and surface vessels allegedly disappeared mysteriously. Popular culture has attributed these disappearances to the paranormal or activity by extraterrestrial beings. Documented evidence indicates that a significant percentage of the incidents were inaccurately reported or embellished by later authors‚ and numerous official agencies have stated that the
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