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

IB Math Portfolio Task I| De end pointining the superior widely distributed tilt for En(r) defined by LACSAPs fractions | Submitted by: ---------------- Submitted on: November 26, 2012 Bayview alternate School (Richmond Hill, Ontario, Canada)| indispensable Assessment Math Portfolio LACSAPS FRACTIONS diction 1 form 2 Row 3 Row 4 Row 5 The purpose of this fitting is to canvas a construct of fractions presented in a cruciate pyramid, and baffle a oecumenical formula for the fractions with respect to the trend and fragment bet subsequently considering the first five rows. The one-sixth and 7th row should be deliberate and the general account should be proven level 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 pattern is cognize as Lacsaps fraction, consisting of ever-changing numerator and denominators in a bilaterally symmetric format.

En(r) pull up hazard be used to requite the nurtures in the pattern, r represents the (r+1)th particle in separately row, showtime 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 two entrust be looked at separately and an comparison will be generated for from each one before combining them to make a general statement. branch, the numerator will be examined. Let N represent the value of the numerator, n represent the row number. invoice that the numerator is the same end-to-end a row: 1, 3, 6, 10, 15 for rows 1, 2, 3, 4, 5, respectively. To recall the pattern for these numbers, the inconsistencys ar calculated and examined below. Row Number (n)| Numerator (N)| First Difference (Nn+1- Nn)| chip difference| 1| 1| -| -| 2| 3| 2| -| 3...If you desire to get a bountiful essay, order it on our website: Ordercustompaper.com

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