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Tagged: Fibonacci series, Golden mean
in this series, the ratio, when a number is divided by its preceding number, is always a constant (1.618). It can be traced out backwards to give the ratio of 0.382.
<p style=”box-sizing: border-box; margin: 0.85em 0px; direction: ltr; color: #777777; font-family: ‘Roboto Slab’; font-size: 13px;”>In Fibonacci series, when a number is divided by the previous number the approximate ratio is 1.6180.</p>
<p style=”box-sizing: border-box; margin: 0.85em 0px; direction: ltr; color: #777777; font-family: ‘Roboto Slab’; font-size: 13px;”>Similarly when the number is divided by next number the ratio is .6180, divided by next to next number ratios is .3820, and so on.</p>
<p style=”box-sizing: border-box; margin: 0.85em 0px; direction: ltr; color: #777777; font-family: ‘Roboto Slab’; font-size: 13px;”>This indicates the retracement.</p>
<p style=”box-sizing: border-box; margin: 0.85em 0px; direction: ltr; color: #777777; font-family: ‘Roboto Slab’; font-size: 13px;”>Hence 1.618 is referred as golden mean/ golden ratio/ phi.</p>
Fibonacci series:
Each term in this sequence is simply the sum of the two preceding terms (1, 1, 2, 3, 5, 8, 13, etc.).
Almost everything has dimensional properties that adhere to the ratio of 1.618.
for example. If you divide the female bees by the male bees in any given hive, you will get 1.618. Sunflowers, which have opposing spirals of seeds, have a 1.618 ratio between the diameters of each rotation. This same ratio can be seen in relationships between different components throughout nature.
The Fibonacci number series is as follows 0,1,1,2,3,5,8,13,21,34,55,89,144,233 etc. Each number is the sum of the two previous numbers and the sequence continues infinitely. The characteristics of this sequence is each number is approximately 1.618 times greater than the preceding number. The key fibonacci ratio 61.8% is referred as golden mean by dividing the one number followed by it in the series, for example:55/89=0.6179. It is similar to the 38.2% ratio and 23.6% which is obtained by dividing 2 and 3 places to the right.
Among the five fibonacci lines , 61.8 % is called golden line. whenever price goes up in an up trend , it retraces by usually touching the FIB line and then starting moving up , the same thing is applicable to down trend . The rally will lost only after touching FIB lines measured retracement . The fib lines are :- 38.2% , 50% , 61.8% .
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