• HIGHER ORDER FIBONACCI SERIES

SOMNATH DUTTA*

Abstract


The Fibonacci numbers were first introduced in 1202 by Leonardo of Pisa, better known today as Fibonacci, in his book Liber abaci. The Fibonacci number sequence appeared in the solution to the following problem:

“A certain man put a pair of rabbits in a place surrounded on all sides by a wall. How many pairs of rabbits can be produced from that pair in a year if it is supposed that every month each pair begets a new pair which from the second month on becomes productive?”

Higher order Fibonacci series is an extension of existing Fibonacci series which shows interesting pattern of the ‘golden ratio’ of the higher order Fibonacci series which has been shown here.


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