Stellar numbers. The aim of the current investigation is to consider different geometric shapes, which lead to specific numbers, to formulate the universal formulas

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Miras International School Almaty 2012

INVESTIGATION

Subject: Mathematics SL

Topic: Stellar Numbers

Name: Elena Arkhangelskaya

Grade: 11 IB

Date: 26th of March

Mathematics SL Investigation

Stellar Numbers

A number sequence is a list of numbers where there is a pattern. We study variations of different sequences and series, such as: geometric, arithmetic and others. We learn different formulas to find the unknown values of the term number, the sum of the terms. And the only reason we do that is to make our live easier and convert huge sequences of numbers into short and exact formulas. In the current investigation I’m going to analyze different kinds of the sequences, which include not only numbers but geometric shapes and stellar numbers as well.

Aim

The aim of the current investigation is to consider different geometric shapes, which lead to specific numbers, to formulate the universal formulas to every specific group of geometric shapes and to test the validity of the gotten general statement.

Procedure

  1. The first step is to work out the sequence of triangular pattern of evenly spaced dots. The number of dots in each are examples of triangular numbers (1, 3, 6,…).
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     1                3                            6                                  10                                          15  

  • To complete the triangular numbers sequence with three more terms.  

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