Wednesday, January 7, 2009

Scribe(Escribiente) - Mark Casanova

Things we Have Learned Today.



- Fibonacci Tree


- Definitions


- Arithmetic sequence



- Formula to solve arithmetic sequences



- How arithmetic sequences work



- Solving word problems using the formula for arithmetic sequences.



Continuation of lesson


Today the class had started with discussing the ideas behind the fibonacci tree. We were shown a sequence of numbers which were 1,1,2,3,5,8. We were than asked by our teacher to figure out the next sequence of numbers. Students then figured out the next sequence of numbers that came after 8 which were 13,21,34,55. Our teacher than asked us how we came to our answer. Students replied that you took the first number and then you added the second number which had came after it. So the sequence of numbers where 1,1,2,3,5,8,13,21,34,55. Our teacher than explained to the students that trees grow in sequences such as these. (http://www.flickr.com/photos/dkuropatwa/2330071256/)


The class then discussed reviewed material from last december about Arithmetic Sequences. All the information is in below slides labeled linear models.


The class then discussed and learned how to find the Nth term in an arithmetic sequence. The Formula how to find the Nth term is showned on the slides labeled linear models.


The class then discussed and learned what is an arithmetic sequence was.

NOTE* If it has a common difference it has an arithmetic sequence.
For example, 2,8,14,20,26. This sequence of numbers goes up by 6 so this is an arithmetic sequence.

Alright now we had questions during class and applying it to some questions.

1.

a. What is the next sequence term of the sequence 1,-1,-3,-5,-7....?

Answer = -9

I got this answer by basically adding -2 to the next sequence of numbers.

b. Find an equation that could be used to generate such a sequence.

Answer = An = -2n + 3

Its hard to explain cuz i need paint to explain and my computer is not working properly right now and will be fixed as soon as possible.

c. what is the 35th term of the sequence?

Answer = -2n(35) + 3 = - 67

Yea dun.

NEXT SCRIBE WILL BE MICHELLE..unless u been it already

1 comments:

Dr. Eviatar said...

Hi Mark,

Mr. K has kindly invited me to peek in and follow what you guys are doing. I like the colours you used in your scribe post, but I was a little confused about what a Fibonacci sequence was. I wonder if you could explain it a little better?

Cheers, Dr. Eviatar.