The document summarizes key aspects of the Fibonacci sequence and the Golden Ratio. It explains that the Fibonacci sequence is a series of numbers where each subsequent number is the sum of the previous two, and this sequence matches the Golden Ratio of 1:1.6. Examples are given of how the Golden Ratio appears in nature and architecture through spirals and rectangles.

1. Math’s
Presentation
Made By:
Muhammad Ali Rehman

2. Fibonacci number
• This is a Sequence of Numbers which is perfectly 1.6
• This sequence can be found in a lot of aspects of life
• This can be very useful for us
• It matches with the Golden Ratio
1+1=2
1+2=3
2+3=5
3+5=8
5+8=13

3. The Golden Ratio
 If you divide a line into two parts a and b and you divide a (the longer line) by
the smaller line (b) you will get ratio 1 : 1.6
 The golden ratio is a spiral which follows the formula of the Fibonacci
sequence.
 Th Rectangle’s in the golden ratio’s spiral are also 1: 1.6

4. Examples

5. Thank You