Group Members: Blase, Nia, Samantha, and Francesca 

I am Kyla Carden and I am doing this project for my Algebra 1 class. My whole class split up into groups and researched different sequence. My group was made up of Jasmine, Will F., Jason, and myself. Our group was assigned the Sierpinski Triangle. Waclaw Sierpinski founded the Sierpinski Triangle. The Sierpinski Triangle is a geometric pattern that is formed by connecting the middle points of the sides of the triangle. When you do this you create 4 triangles. You subtract the middle triangle at the bottom from the sequence and so on, and so on. This sequence contains an infinite amount of triangles. Although this applies to geometry it has an arithmetic formula, which is (n) = 3^(n-1).

Our mini project was to research our assigned sequence and teach someone something new. My assigned sequence was Binary sequence and my group members were Marina Stuart, Briana Stroman, and Tariq Smith. Here is more information about Binary sequence.

 Our assignment in algebra 1 was to research a different sequence with a group of three or four people and report to each other on information we get.  I was assigned binary sequences.  I worked with Alaya White, Brianna Stroman, and Tariq Smith.  I have now learned a lot about binary sequences and why they are.

This is how binary sequences can express any number.

(http://math.editme.com/Binary)

In a Triangular sequence it follows a rule/formula of n(n+1)/2.It is used for probability problems,but it can be used for puzzles as well and also in Algebra .It's name is Pascal's Triangle looking like a triangle with many numbers within it.It's purpose in the field of Algebra is, Pascal's Triangle is used for raising the power of a polynomial x+1.

Recently, our algebra class was required to research different sequences as part of several "mini-projects."  Students were divided into groups, and each was assigned a different sequence to research, and in the end posting our discoveries on Drupal.  The group I was in was assigned triangular and rectangular sequences.  I was then appointed to the research of triangular sequences, so naturally I specialize in them.

The Fibonacci sequence is an arithmetic sequence. It uses addition to find the next term number. The way a Fibonacci sequence works is that t1 will always be zero and t2 will always be one. It normally looks like: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765 . . .

In this drupal post, I will be explaining power sequences. I'm sure that the first and foremost question that comes to mind for many is "what is a power sequence?"; a power sequence is a pattern or sequence of numbers that follows an exponential rule. For example if the first term of a power sequence were three and the rule of it was to follow the second power the first several terms would be as follows: 3, 9, 81… There are technically two ways of saying something is a power sequence. The first would obviously be a power sequence however the second would be known as an exponential sequence; or a sequence that uses exponents. Power sequences are not used often because they are used solely when something rises or falls exponentially; which is not very common.