Why is the fibonacci sequence important in math
Why Are Fibonacci Numbers Important in Nature? : Math Problems & Trigonometry
hi my name is Eugenia and I'm a math
tutor today we're going to talk about
wife of a nachi numbers are important in
nature to review the Bonacci numbers are
a sequence of numbers starting with 0
and 1 where each of the following
numbers is a sum of the previous two so
we have 0 plus 1 is 1
1 plus 1 is 2 1 plus 2 is 3 2 plus 3 is
5 and then we have 8 13 21 34 and 55 and
so the list continues the fascinating
thing about this sequence is that it is
naturally found throughout the whole
universe from the formation of galaxies
and hurricanes to the way leaves grow on
a stem one of the most common ways we
see that the Bonacci sequence in nature
is in spirals take a look at this
pattern it may not be obvious at first
but if you take a close look you will
find that there are multiple spirals
here in different directions if this is
a truth of a dachi pattern then the
number of spirals when added up will
always be a Fibonacci number for example
if we count the number of spirals going
in this direction we will find that
there are 21 of them when we add them up
and 21 is one of our numbers or we could
count the spirals going in this
direction in which case we would get 34
total spirals and that of course is also
one of our numbers or there's a third
way we could count it going this way in
which case we would get 55 total spirals
which is also one of our numbers now
that you know what if Fibonacci spiral
is and what it looks like take a look at
this pine cone do you see how it
resembles the same spirals the same is
true of almost all pine cones if you
count their spirals in any direction you
will get a Fibonacci number
another way that Fibonacci numbers
appear in nature is in the way animals
reproduce like rabbits and honeybees for
example if a female honeybee lays an egg
and
is unfertilized than a male will hatch
so each male bee has one only one parent
if the egg is fertilized then a female
will hatch so all female bees have two
parents now let's imagine one male bee
since he's a male he has only one parent
a female since this is a female she has
two parents a female and a male
this female also has two parents
but this male only has one let's do one
more row of parents this female has a
female and a male parent this male only
has one female parent and this female
has a female and a male parent can you
tell where this is going if we add up
the B's in each generation we get 1 1 2
3 & 5 which is the beginning of our list
of Fibonacci numbers and if you continue
drawing the parents the list will
continue that's just 2 examples of how
the Fibonacci numbers are important in
nature and there are many more my name
is Eugenia and thanks for watching
