Stellar Number Ia Type 1

The Regents school Pattaya|
Mathematics SL Internal judicial decision 1 |
Stellar Numbers|
|
Naufal Hakim|
9/20/2011|

This is one of the two Internal assessments that is required as a component for IB Mathematics SL.|

Aim
In this task you will read geometric springs which lead to special numbers. The simplest examples of these are square numbers, 1, 4, 9, 16, which fire be represented by squares of side 1, 2, 3 and 4.

play down research
Triangular number consists of natural numbers and has a lap of commanding integers. Hence the range of angular number is from positive 1 to infinity. Natural number is the naturally occurring numbers and utilise for ordinary counting e.g. 1 pencil , 2 pencils, 3 pencils, and so on. The number from the nth term keeps adding (positive) 1 from the preliminary term.
Stellar numbers could also be referred to star numbers. They are centered figure number that represents a centered hexagram, much(prenominal) as the one that Chinese checkers is played on, as described by Wikipedia.org. A hexagram is a 6-pointed shape with equilateral triangles forming its star-like structure fixed to a polygon primed(p) on its center.
Both triangular and stellar consist of change magnitude layers of their respective shapes. These layers increase naturally in number of dots.



each(prenominal) side of the form adds one dot for every change magnitude layer, for example in the third layer of a triangular number (n=4), there are 7 dots in thoroughgoing whilst previously there are 6 dots in the here and now layer.
The pattern that could be derived from these numbers are represent victimization the arithmetic and geometric taking over theories. Arithmetic sequence refers to a group of numbers where amongst the members, there is a constant dissimilitude (d). Geometric sequence on the other hand, has a divergency (d) in ratio between the members.
However as the sequence of both the triangular and the stellar numbers are analysed, it is found that a quadratic sequence was required to identify the difference...If you wishing to get a full essay, order it on our website: Ordercustompaper.com



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