fibonacci numbers

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FIBONACCI

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Fibonacci Numbers

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Page 1: Fibonacci Numbers

FIBONACCI

SERIES

Page 2: Fibonacci Numbers

What is mathematics???

Mathematics is an abstract science number, quantity or space.

We learn math for three reasons……1. Calculation2. Application3. Inspiration

Page 3: Fibonacci Numbers

THE FIBONACCI SERIES………

The person to whom this credits goes was Leonardo Bonacci… he was named Leonardo of Pisa, Leonardo Pisano Bigollo,etc… .

The fibonacci numbers appear in his book ‘Liber abaci’.

The fibonacci number occour in nature…. Example: the number of petals on a flower, the number of spirals on a sunflower or a pineapple , etc..

Page 4: Fibonacci Numbers

• The Fibonacci series are easy to remember…

0+1=11+1=21+2=32+3=5 3+5=8 and so on….

Page 5: Fibonacci Numbers

Squaring the Fibonacci numbers… 1 1 2 3 5 8 13 21 34

1 1 4 9 25 64 169 441 1156 If we add the squares of the Fibonacci

numbers…1+1+4 = 61+1+4+9= 15 1+1+4+9+25= 40 1+1+4+9+25+64= 104

=2*3=3*5

=5*8=8*13

Page 6: Fibonacci Numbers

Why should the equation be true???12+12+22+52+82=104=8*13……..

1 12 3

5 8What i

s the area o

f the

rectangle???

Page 7: Fibonacci Numbers

Area of the rectangle is always equal to the:• Sum of the area of the squares

12+22+32+52+82=104• It is also equal to the product of length and breadth….

l*b=(5+8)*8=13*8

Page 8: Fibonacci Numbers

Thank you for

watching!!!

By:Savitha Katti