Sl Math Portfolio (Ia) 2012 - Lacsap's Fractions

IB Math Portfolio Task I| Determining the superior popular tilt for En(r) defined by LACSAPs subdivisions | Submitted by: ---------------- Submitted on: November 26, 2012 Bayview alternate School (Richmond Hill, Ontario, Canada)| Internal Assessment Math Portfolio LACSAPS FRACTIONS language 1 Row 2 Row 3 Row 4 Row 5 The purpose of this fitting is to canvas a set of fractions presented in a bilaterally symmetrical pyramid, and baffle a general formula for the fractions with respect to the course of instruction and fragment number after considering the first five lyrics. The one-sixth and 7th track should be calculated and the general affirmation should be proven correct with other rows and its limitations considered. The set of fractions is reproduced below. 1 1 1 32 1 1 64 64 1 1 107 106 107 1 1 15 11 159 159 1511 1 This radiation diagram is known as Lacsaps fraction, consisting of changing numerator and denominators in a symmetrical format. En(r) pull up stakes be used to compensate the nurtures in the pattern, r incorporates the (r+1)th particle in separately row, get-go at r=0, and n represents the row number, starting at n=1. The domain of this term is {n|n ? N}, {r|r ? W}, since the row and element number cannot be negative or fractions. The fraction is make up of patterns in both the denominator and the numerator, so the both leave alone be looked at separately and an equation will be generated for each before combining them to make a general statement. First, the numerator will be examined. Let N represent the value of the numerator, n represent the row number. Notice that the numerator is the analogous end-to-end a row: 1, 3, 6, 10, 15 for rows 1, 2, 3, 4, 5, respectively. To find the pattern for these numbers, the differences ar calculated and examined! below. Row Number (n)| Numerator (N)| First end (Nn+1- Nn)| chip difference| 1| 1| -| -| 2| 3| 2| -| 3...If you want to get a full essay, set up it on our website: BestEssayCheap.com

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