Stellar Numbers Results 1. Triangular Numbers Observation of the number pattern of polynomial type or different pattern needed. Identifying the order of the general term by using the difference between the succeeding numbers. Students are expected to use mathematical way of deriving the general term for the sequence. Students are expected use technology GDC to generate the 7th and 8th terms also can use other graphic packages to find the general pattern to support their result The
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geometric shapes‚ which lead to special numbers. The simplest example of these are square numbers‚ such as 1‚ 4‚ 9‚ 16‚ which can be represented by squares of side 1‚ 2‚ 3‚ and 4. Triangular numbers are defined as “the number of dots in an equilateral triangle uniformly filled with dots”. The sequence of triangular numbers are derived from all natural numbers and zero‚ if the following number is always added to the previous as shown below‚ a triangular number will always be the outcome: 1 = 1
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understanding. Based on geometry alone‚ many special patterns evolve‚ such as the square numbers‚ triangular numbers‚ and much more. The Stellar Numbers are mostly used in astronomy and astrology. Stellar Numbers are figurate numbers based on the number of dots that can fit into a midpoint to form a star shape. The points of the star determine the number of points plotted around the midpoint. Triangular numbers is a figurate number system that can be represented in the form of a triangular grid of points where
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final assessment in 2011 and 2012 STELLAR NUMBERS SL TYPE I Aim: In this task you will consider geometric shapes which lead to special numbers. The simplest example of these are square numbers‚ 1‚ 4‚ 9‚ 16‚ which can be represented by squares of side 1‚ 2‚ 3 and 4. The following diagrams show a triangular pattern of evenly spaced dots. The numbers of dots in each diagram are examples of triangular numbers (1‚3‚6‚)…. 1 3 6 10 15 Complete the triangular numbers sequence with three more terms. Find
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Introduction I. Number Systems in Mathematics: A Number system (or system of numeration) is a writing system for expressing numbers‚ that is a mathematical notation for representing number of a given set‚ using graphemes or symbols in a consistent manner. It can be seen as the context that allows the symbols "11" to be interpreted as the binary symbol for three‚ the decimal symbol for eleven‚ or a symbol for other numbers in different bases. Ideally‚ a number system will: * Represent a
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SL Math Internal Assessment: Stellar Numbers 374603 Mr. T. Persaud Due Date: March 07‚ 2011 Part 1: Below is a series of triangle patterned sets of dots. The numbers of dots in each diagram are examples of triangular numbers. Let the variable ‘n’ represent the term number in the sequence. n=1 n=2 n=3 n=4 n=5 1 3 6
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Math SL Investigation Type 2 Stellar Numbers This is an investigation about stellar numbers‚ it involves geometric shapes which form special number patterns. The simplest of these is that of the square numbers (1‚ 4‚ 9‚ 16‚ 25 etc…) The diagram below shows the stellar triangular numbers until the 6th triangle. The next three numbers after T5 would be: 21‚ 28‚ and 36. A general statement for nth triangular numbers in terms of n is: The 6-stellar star‚ where there are 6 vertices‚ has
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Introduction: In this following assignment‚ I will be considering geometric shapes that lead to special numbers. The simplest examples of these are square numbers (1‚ 4‚ 9‚ 16‚ etc)‚ which are derived from squaring 1‚ 2‚ 3‚ and 4. From this I got the equation y= x2. This equation is illustrated in the table below. y=x2 |x |y | |1 |1 | |2 |4 | |3
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The changes that occur during a star ’s life are called stellar evolution. The mass of a star determines the ultimate fate of a star. Stars that are more massive burn their fuel quicker and lead shorter lives. Because stars shine‚ they must change. The energy they lose by emitting light must come from the matter of which the star is made. This will lead to a change in its composition. Stars are formed from the material between stars‚ shine until they exhaust their fuel‚ and then die a predictable
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Process and importance of fusion in stellar evolution. Huge clouds of hydrogen atoms and gravity cause the atoms to be attracted to each other creating them to slowly move towards the centre of mass.The atoms then continue condensing until something happens.All of the atoms are trying to get to the centre of mass. While this is happening the temperature becomes 10 million Kelvin and at that point there is enough temperature and enough pressure to overcome the coulomb forces‚ bringing the two protons
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