Mathematics beyond numbers-1


Maths and interesting don’t actually go hand in hand for most people, right? Yes, buddy even I hate integration, derivatives, trigonometry and whatnot. But there is this topic that I came across, which caught my interest and is indeed fascinating.

 0,1,1,2,3,5,8,13, 21,34,……

 These are random numbers? More like numbers with a pattern to them. A sequence. FIBONACCI SEQUENCE. This sequence consists of numbers that are the addition of the previous two numbers. This pattern goes on until it reaches infinity (like our Maths Teacher used to say).

Mathematically speaking, the equation of this whole sequence will be,

       Xn =  Xn-1 + Xn-2

  where Xn is the nth number. n = 1,2,3,4,……….

 

Numbers in this sequence, are also known as Fibonacci numbers. These numbers were first described in Indian mathematics in 200 BC. ( Amazing, right?). Later on the Italian mathematician, Leonardo of Pisa wrote about it in his book Liber Abaci. In this book, he used the sequence to calculate the idealised rabbit population growth.

Source: https://www.mathscareers.org.uk/the-mathematics-of-rabbit-island/


Did you know? If you add the numbers of the pascal triangle diagonally you get the Fibonacci sequence. Interesting, yes.

Source: https://math.stackexchange.com/questions/2563623/relation-between-pascals-triangle-and-fibonacci-series


 This sequence has several real-life applications such as-

·     Coding. It is used in computer algorithms. (It/computer engineers, Hi!)

·     Statistics. In technical analysis of equity market.

·     This sequence is used to study other mathematical sequences.

·     Pedigree Chart of Honey bees:

o

Source: https://mathigon.org/course/sequences/fibonacci
 A drone bee has one parent. And a queen bee has two parents. The above picture is basically a Family history of a drone bee. 

·      Details The Fibonacci numbers have a frequent appearance in nature. Like the number of petals of flowers is usually a Fibonacci number. 5,3,8,etc. Right or not, you tell me.

The spiralling pattern count in some structures is also Fibonacci numbers.

    Also, there is golden spiral, the golden ratio which is based upon Fibonacci sequence. Well, that's a story for another blog. Stay Tuned!

Now, this is the part of maths that I like. What about you?

.

Comment below which aspect of maths you like (if any). If you don’t like any, comment about the hard time MATHS gave you. Share. Thank you.

Bye.

You can find me on-

IG: @_iprachii_ ,@niche_of_expressions

Comments

  1. Priyanka Bagul3 February 2022 at 09:14

    Thank u buddy for sharing this cool stuff!

    ReplyDelete
  2. Manjiri3 February 2022 at 17:29

    Woah! Another great article 🥳

    ReplyDelete
  3. Shashank Suryawanshi3 February 2022 at 20:07

    This is something amazing...
    Maths ❤️🥳🥳

    ReplyDelete
  4. Unknown3 February 2022 at 20:43

    Ooho it's really interesting one....!!! 😍Behind that, maths is my fav topic ✌️......keep going with amazing blogs...👍

    ReplyDelete

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