Tuesday 19 January 2016

12 Divisibility Properties of Fibonacci Numbers You Should Know.




Welcome to MATH CLINIC!! We will be discussing about Life’s defining number…THE FIBONACCI NUMBERS. The Fibonacci numbers, named after the 13th century mathematician, Leonardo of Pisa or Leonardo Fibonacci are the sequence of numbers;

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377 . . .
These numbers are constructed such that the sum of the two previous term equals the next term
i.e 1 + 1 = 2,      1 + 2 = 3,    2 + 3 = 5 . . .
 
These numbers have variegated applications in nature, music etc. It is also a basis for the derivation of the Golden ratio which I call the building block of man (A discussion for some other time). If you quite familiar with the movie DA VINCI CODE, you definitely know Fibonacci numbers can be used to pass encrypted messages to loved ones.

Interestingly, these numbers like every beautiful concept have beautiful properties.

Let’s check them out!!

Property 1: Every third Fibonacci number is even.

Property 2: Every fifth Fibonacci number is divisible by 5.

Property 3: No odd Fibonacci number is divisible by 17 and 61.

Property 4: Every fourth Fibonacci number is divisible by 3.

Property 5: Every 6th Fibonacci number is divisible by 4.

Property 6: Every 7th Fibonacci number is divisible by 13.

Property 7: Every 8th Fibonacci number is divisible by 7.

Property 8: Every 9th Fibonacci number is divisible by 17.

Property 9: Every 10th Fibonacci number is divisible by 11.

Property 10: Every 12th Fibonacci number is divisible by 6,9, 12 and 16.

Property 11: Every 14th Fibonacci number is divisible by 29.

Property 12: Every 15th Fibonacci number is divisible by 10 and 61.
 
Hope you had a great time learning something new...
Smile Math Is Lovely and Entertaining (SMILE).
 

 

Monday 18 January 2016

2015 National Olympiads Competition Result - First Round


Schools can check results of the National Olympiad competitions by clicking the link below;

http://nmcabuja.org/olympiads_results.html

The 2nd Round for the Olympiad exams hold on the 6th February, 2016.

Wish you the best in the second round.

Pictures from International Conference in Mathematical Finance

L-R(Prof. Ugbebor, Dr. Ezepuo, Prof Ekhaguere)

Graduate Students

A section of Participants at the Conference
 


Speech from Prof. G.O.S Ekhaguere
Presentation from Dr. Ezepuo (Sheffield Hallam University, UK)
 






Texan Professor acknowledges African Mathematicians...





Whao! It was great meeting this Texan Professor of Mathematics, at the Nigeria Women in Mathematics Conference. I requested an interview with him, which he obliged. It was an opportunity to pick his brain on issues ranging from gender, lucrativity, colour and many other issues as it pertain to the field of mathematics. This is what he had to say….Sit back and enjoy the conversation.

Me: Hello Frank! I am Sam, its great seeing you at the conference.

Frank: Hi Sam, Yeah…great here also…what is happening at the conference is great.

Me:  I represent COLLOQ; a mathematics focused NGO. I will love to pick your brain on certain issues (laugh).

Frank: (laugh) Okay

Me: What do you think about mathematics as being interesting and creative? So many kids think it is a drudgery plug for them and are really not interested in the field.

Frank: Okay…What a lot of people think about mathematics is that all mathematics happened a long time and there is nothing new. This is an impression you can have on any subject. Fairly, in Physics and Medicine, modern discovery can be made more understandable. Mathematics has fundamental advances but because of its nature it is much more abstract, and so more than other subjects, students can get a mistaken impression that it all happened a long time ago. One other reason is that the mathematics needed to advance into science and technology, the way we teach it has been the same way for 200 years. So there are difficulties on how we present mathematics to students in an interesting way. It is such a deep subject that requires so much background.

Me: But that was not the case with you, I looked up your profile and it reflected excellent math skills in High school. What was different for you?

Frank: Yeah… in high school I was a good student and was very interested in mathematics. What happen was that I wanted to study mathematics in college and everybody; my parent, my high school counselor told me “you crazy…and you have to study engineering” and I followed them and took Physics as a compromise. When I got to college, I did not listen to them anymore; I studied both Physics and Mathematics. I studied what I wanted to do…So you think about your life, you have only one life as far as I understand and you have to live it in a way that keeps you interesting and excited. So you should choose to study what you want to study. Study what you are best at, for me it was Physics and Mathematics. I studied in the Physics lab at Berkley during the summer and one thing I understand was I never wanted to be a Physicist. I learnt I wanted to be in mathematics.

Me:  So for you it was about interest and what you were good at

Frank: Yeah

Me: Beyond interest, many are concerned with lucrativity. How lucrative is mathematics?

Frank: Oh lucrative….I think what is lucrative in Nigeria is to be close to the government… (LAUGHTER). I am sorry, that was a joke. But, really Nigeria is developing and mostly in areas like construction, extraction and food processing. Well, many people do not know mathematicians, they know famous movie stars, rock stars etc. There are good jobs in Nigeria that requires tactical and mathematical training, but are not flashy. In America, you should look this up, the US Bureau conducts a survey for the best jobs and last year the top jobs are professionals in mathematics, actuary and statistics working for companies.

Me: What is the view of the international community about African mathematicians as it concerns productivity?

Frank: Okay…there are some notable African mathematicians; many of them have gone to work abroad. So many accomplishments of mathematician are not recognized because they emigrated. I don’t think it’s a bad thing for people to go abroad, but I think they should be welcome back. So your country looses the possibility of improving herself scientifically because these people have a hard time coming back. There are successful things going on in Africa now, there are initiatives on mathematical exchange between Africa and other part of the world…European exchange, scientific exchange etc. I do not know much about the United State because we are far from Africa, but Europe has a more intimate history with Africa. I think in recent time, during colonization, there was more scientific exchange than it is now and I am more curious about that. I don’t know the reason for that, but on one hand that might be due to the development of universities. But, I do think scientific exchange is remarkable and more remarkable for them to come back.

Me: Okay…COLLOQ will be organizing her 4th Mathematics Colloquium strictly for female students. What is your message for the participant?

Frank: Okay…special for female students….Em….Okay, lemme think about it, I am not a woman (laughter). First of all even though the number of women in tactical subject is small than we would like, there are many examples of very successful women who has made it in science and technology. ..Because the numbers are close to non-existence, it is hard to look for role model but you have to look for them. I don’t know the situation here, but in United State there is a strong feeling of encouraging women in mathematics. The encouragement is that people should be able to do what they want; chase their dreams and achieve their potential and that is true for women as it is true for men there is no difference. There is no different talent, there is no different intelligence. There are cultural differences and differences in opportunities. But people should persevere and look to other people for role model. An example is my wife; she is a Professor of mathematics. The problem they have is true for everybody. So look for senior models who are sympathetic enough to be helpful and if somebody is not sympathetic, don’t listen to them, listen to somebody else, because people should believe in themselves and do what they want to do and search out people who will help you.

Me: Whao! Thanks for the message and thank you for your time.

Frank: You welcome Sam. Interestingly, my Father and Son is Samuel.

Me: Interesting, that’s great…say me hi to them when you travel back.

Frank: I will Thank you

 


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