Friday 27 July 2012

Fibonacci Numbers

In the previous post we have discussed about Ratios and Proportions and In today's session we are going to discuss about Fibonacci Numbers. 

Fibonacci Numbers are describe as the sequencing of numbers that follow the linear recurrence rule. We can also explained it by a simple expression as if Xn is a function then according to the linear recurrence rule (Xn)  where value of n is from 1 to infinity.
This will be expressed as  Xn = x n-1 + x n -2 + x n-3 ….
In the above expression if the value of n is 1 or 2 then X1 = X2 = 1 and in case of X0 is is equal to one.
When we present the Fibonacci numbers for the values of n = 1 , 2 and so on then it will show as 1,1 ,2 ,3 ,5 , 8 ,13 , 21 ,34 …. So on.
We can define some of the problems that are defined by the Fibonacci numbers series as there is a problem stated as one male and one female those are born on first January and if all the months having the equal number of days then find the number of pairs that are produce after the birth of first pair in next two months and when a pair have the age of two months then it produce another pair and this pair also generate the another pair after two months and no pair dies.
So we have to find the number of pairs after the period of one year?
So these kind of problems are solved by Fibonacci numbers.
For solving the problems like Subtracting Fractions With Unlike Denominators, need to make the denominators of both the fractions same and for this we have to calculate the LCM that is stated as least common multiple and then we calculate the answer of the given problem. (know more about Fibonacci Numbers, here)
Cbse Board Papers are organized by the central board of secondary education (CBSE board) in month of march of every year for the students.

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