Main topic: The Fibonacci Numbers and The Pascal Triangle The main purpose of the project is to introduce you how to use a computer as a research (problem solving) tool in an Introductory Discrete Mathematics. In this project you will be asked to show how the Fibonacci sequence { F. } is related to Pascal's triangle using the following identities by hand for small n and then by computers with large n. Finally, to rove the identity by mathematical arguments, such as inductions or combinatorics. where F is the t-th term of the Fibonacci sequence. "LaGCC. July 6. Tuesday Hint. In the sum of the diagonals of Pascal's trimgle are equal to the corresponding Fibonacci sequence terin. That is the values on the digsoner Hagonals of Pascal's triangle add up to the Fibonacci numbers. Problems: ) By hand. shower show that the they identity is the for some andperezFerribot By computer show that the above kientity is true for some Luzgel muchtou ting tangosse I with loops of recursion to print out for the ad side of the identity right-hand Compare