The Fibonacci Sequence is a series of number: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ... discovered by an Italian mathematician named Leonardo Pisano but also went by Fibonacci in the 13th century.
Each number is found by adding the two previous numbers. ( 0+1=1, 1+1=2, 1+2=3, 2+3=5 etc.). Although it often goes unnoticed, the Fibonacci numbers are common throughout nature.
The Golden Ratio is when dividing a line into two a ratio where the shorter segment to the longer segment is equal to the longer whole and always works out to be 1.618. It is calculated by:
1) dividing 1 by your number (=1/number)
2) add 1
3) that is your new number, start again at 1