Triminoes Investigation of Sequences
There are different lots of sequences such as Arithmetic progressions,
Geometric progressions and other sequences. There are many types of
sequences, sequences that increase by a fixed amount between each term
are known as arithmetic progressions or arithmetic series. Odd and
even numbers both increase by two from one term to the next. The
multiples of seven increases by seven, from one term to the next.
Arithmetic progressions
There are many types of sequences, sequences that increase by a fixed
amount between each term are known as arithmetic progressions or
arithmetic series. Odd and even numbers both increase by two from one
term to the next. The multiples of seven increases by seven from one
term to the next.
Odd numbers 1, 3, 5, 7, 9, …
Even numbers 2, 4, 6, 8, 10, …
Multiples of seven 7, 14, 21, 28, …are examples of arithmetic
progressions or arithmetic series.
Geometric progressions
Geometric progressions or geometric series are sequences in which
successive terms are in the same ratio. To get the next power of two
you simply double the previous value.
In the example of exponential growth the next term is obtained by
multiplying the previous term by 1.5.
Powers of two 1, 2, 4, 8, 16, …
Exponential growth 10, 15, 22.5, 33.75, …
Exponential decay 20, 16, 12.8, 10.24, 8.192, …
are examples of geometric progressions or geometric series
Other sequences
There are many other types of sequences. They all have predictable
methods of generation.
Square numbers 1, 4, 9, 16, 25, …
Triangle numbers 1, 3, 6, 10, 15, …
Cube numbers 1, 8, 27, 64, 125, …
Reciprocals 1,1/2 , 1/3 ,1/4 ,1/5 , …
Square roots 1, 1.412, 2, 1.73 , …
I am doing an investigation about a game called Triminoes (like
dominoes). The game is played using triangular pieces of card. Each
card has 3 numbers on it. I have to investigate the relationship
On the second day of class, the Professor Judit Kerekes developed a short chart of the Xmania system and briefly explained how students would experience a number problem. Professor Kerekes invented letters to name the quantities such as “A” for one box, “B” for two boxes. “C” is for three boxes, “D” is for four boxes and “E” is for five boxes. This chart confused me because I wasn’t too familiar with this system. One thing that generated a lot of excitement for me was when she used huge foam blocks shaped as dice. A student threw two blocks across the room and identified the symbol “0”, “A”, “B”, “C”, “D”, and “E.” To everyone’s amazement, we had fun practicing the Xmania system and learned as each table took turns trying to work out problems.
Many things have impacted both the Science and Medical fields of study. Electrophoresis and DNA Sequencing are two of these things. Together they have simultaneously impacted both of these fields. On one hand, there is Electrophoresis. Electrophoresis is a specific method of separating molecules by their size through the application of an electric field. It causes molecules to migrate at a rate and distance dependent on their size. On the other hand, there is DNA Sequencing. DNA Sequencing is a technique used to determine the exact sequence of bases
This painting, La Primavera by Botticelli, depicts many mythological figures. The feature of the painting is Venus, the Roman goddess of love and beauty, with Cupid floating above her head. On the far left is Mercury, another Roman god. There are a few other people who can also be found in Roman mythology. While it depicts Roman mythology, this painting was created between 1477 and 1482, during the Renaissance (Ufizzi Gallery Museum: La Primavera). The humanism movement during the Renaissance brought about the creation of many paintings of Roman and Greek ideas. Humanism in the Renaissance, as described by Strayer, was the preservation of Greek and Roman education and culture. The people of the Renaissance revived the might and classicism that
The Double Helix by James Watson is his personal reflection on discovering the structure of the DNA molecule. With contributions of other scientists, James Watson and Francis Crick were able to solve the structure of DNA. Through contributions and integral relationships of Watson and Crick to Maurice Wilkins, Rosalind Franklin, Linus Pauling, and other smaller contributors the DNA structure was finally solved.
According to developmental studies, Palesa, who is 18 years old is in the ‘identity vs role confusion stage’ (Sadock, Sadock & Ruiz, 2015). It is during this stage that individuals try to figure out their identities as they experience physical and physiological changes of puberty (Sadock et al., 2015). According to her father, Palesa has a boyfriend, which is what is expected during this stage. What is of concern though is the fact that she only smokes when in dispute with her boyfriend. According to this developmental stage, Palesa is going through a role confusion (Sadock et al., 2015).
A number which denotes the degree of expansion of a substance is called the coefficient of expansion of the material. There are three types of expansion namely, linear, superficial and cubical, and each has its own coefficient of expansion:
States. The FBI performs testing for free to all police agencies to help keep costs down
Sethe is possibly the best thing for herself, knowing she’s an independent woman who was able to take care of herself. I believe Sethe is her best thing because of the qualities of a person she has. Sethe is an independent, strong, and is a person who can make her own decisions. An independent woman is a woman who does not rely on anyone and is confident enough to make their own decisions. Throughout the story we can make inferences that Sethe is possibly her best thing. The story goes on and on, on how Sethe past was and the type of person she was to the end of the story. All her actions and decisions made by Sethe made herself, her best thing.
Children can enhance their understanding of difficult addition and subtraction problems, when they learn to recognize how the combination of two or more numbers demonstrate a total (Fuson, Clements, & Beckmann, 2011). As students advance from Kindergarten through second grade they learn various strategies to solve addition and subtraction problems. The methods can be summarize into three distinctive categories called count all, count on, and recompose (Fuson, Clements, & Beckmann, 2011). The strategies vary faintly in simplicity and application. I will demonstrate how students can apply the count all, count on, and recompose strategies to solve addition and subtraction problems involving many levels of difficulty.
The objective of this coursework is to find the formula that gives the maximum product of any given number when split into parts.
Logarithms have the ability to replace a geometric sequence with an arithmetic sequence because they raise a base number by an exponent. A simple example can be provided with a geome...
The Fibonacci Sequence Though the name sounds intimidating, the Fibonacci sequence is just a series of numbers obtained by adding the previous two entries together to get the new entry. The sequence, though usually only found within mathematical problems, can be applied in various ways, and is found in nature. It is related to several mathematical concepts, like the golden ratio and Pascal’s Triangle. It is involved in almost every aspect of life, including education, natural events, and even stock exchanges. The Fibonacci sequence has a long and complex history; its roots can be traced back to India, around 200 BC or perhaps earlier.
Fibonacci numbers are numbers in the Fibonacci sequence. In this paper, you will find out what Fibonacci numbers are related to. You will also find out how Fibonacci numbers are everywhere in the world. Though Fibonacci numbers are found in mathematical subjects, they are also found in other concepts.
The early acquisition of mathematical concepts in children is essential for their overall cognitive development. It is imperative that educators focus on theoretical views to guide and plan the development of mathematical concepts in the early years. Early math concepts involve learning skills such as matching, ordering, sorting, classifying, sequencing and patterning. The early environment offers the foundation for children to develop an interest in numbers and their concepts. Children develop and construct their own meaning of numbers through active learning rather than teacher directed instruction.
Irrational numbers are real numbers that cannot be written as a simple fraction or a whole number. For example, irrational numbers can be included in the category of √2, e, Π, Φ, and many more. The √2 is equal to 1.4142. e is equal to 2.718. Π is equal to 3.1415. Φ is equal to 1.6180. None of these numbers are “pretty” numbers. Their decimal places keep going and do not end. There is no pattern to the numbers of the decimal places. They are all random numbers that make up the one irrational number. The concept of irrational numbers took many years and many people to discover and prove (I.P., 1997).