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

IB Math Portfolio Task I| Determining the superior world-wide tilt for En(r) defined by LACSAPs splits | 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 subsidisation is to canvas a set of fractions presented in a regular pyramid, and baffle a general formula for the fractions with respect to the course of instruction and fragment number after considering the first five quarrels. The sixth and 7th haggling 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 1511 159 159 1511 1 This shape 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 founds 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 deuce go out be looked at separately and an equation will be generate d for each before combining them to make a g! eneral 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 fight (Nn+1- Nn)| chip difference| 1| 1| -| -| 2| 3| 2| -| 3...If you want to get a full essay, rate it on our website: OrderCustomPaper.com

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