do, consequently n > 0.
To conclude I can state that triangular numbers are ruled by the formula: and stellar numbers can be found using the formula Sn...
:
[pic]
This formula above can be used to calculate the number of dots of any triangular number is the sequence, n being greater than 0.
Graphing the points...
= n2+n2.
General Statement of nth Triangular Numbers in Terms of n: Sn= n2+n2.
The next step was to look into stellar (star) shapes with p vertices that lead...
with three more terms.
Find a general statement that represents the nth triangular number in terms of n.
Consider stellar (star) shapes with p vertices, leading...
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 its first four shapes shown...
and stellar numbers. Using the data given to me, I will then determine a general statement to represent the pattern of the special numbers.
Triangular Numbers...
found between the stellar numbers and the number of vertices in the stellar shapes that dictate their value.
1. The following diagrams show a triangular...
=36
Therefore, the general statement that represents the nth triangular number is:
tn=12n(n+1)
Part 2: Stellar shapes are defined with a p number of vertices...
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...
When I think back to my childhood, flashbacks come in my mind. Pictures of worried, stressed teenagers talking all at the same time. For many years I tried to...
Trainor
IB Standard Level Math
07/11/10
IB Standard Level Type 1 Coursework: Stellar Numbers
Part A
Figure 1: Triangular Sequence
The following diagrams show...
with three more terms.
Find a general statement that represents the nth triangular number in terms of n.
Consider stellar (star) shapes with p vertices, leading...
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task
We need to find a general statement that represents the nth triangular number in terms of n.
No.dots | 1 | 2 | 3 | 4 | 5 | 6 |
Sn | 1 | 13 | 37 | 73 | 121...
I will consider geometric shapes, which lead to special numbers.
Triangular Numbers
The following diagram shows a triangular pattern of evenly spaced dots...
A= 0.5
B= 0.5
C= 0
We can plug this data into the formula derived above:
Formula Nth triangular number in terms of n: Un= an2+bn+c
With values from calculator...
