On The Fibonacci Numbers

In this paper a brief history of the Fibonacci and related sequences called Lucas num-rnbers will be given. Recursion formula for both sequences will also be given. A closedrnformula for nth - term of Fibonacci and Lucas numbers and the relationship betweenrnFibonacci numbers and golden ratio will be discussed. The remaining sections willrnbe about finding a closed formula for the nth Fibonacci numbers by using matrixrnform and its generating function. Some identities and particular theorems involvingrnFibonacci sequences and identities for the common factor of Fibonacci and Lucasrnnumbers will be discussed. The last one will look at the occurrences of Fibonacci andrnLucas numbers in Pascals triangle.

Get Full Work

Report copyright infringement or plagiarism