The book entitled “Fibonacci-Like Sequence” has been written to meet the requirements of research scholars of Mathematics. This text provides an introduction to the Fibonacci and Fibonacci-Like Sequence that are typically encountered (and used) in Mathematics and Engineering research scholars. The Fibonacci-Like sequence is generated by a simple education law and it stands in a clear relationship to a second degree equation. Fibonacci-Like sequence is one in which each term is the sum of the two terms immediately preceding it. It is named for its discoverer, Leonardo Fibonacci (LEONARDO PISANO). Fibonacci sequence is famous for possessing wonderful and amazing properties. The numbers may also be referred to as Fibonacci numbers. Fibonacci sequence have proven useful in number theory, geometry, the theory of continued fractions, and genetics. Fibonacci numbers consist without any doubt of one of the most well-known and important sequence of numbers in Mathematics, Life and Nature! It enjoys so many remarkable, fascinating, funny properties that it is the source of a lot of entertainment. There is a huge interest of modern science in the application of the Fibonacci numbers.