Blackstone Technology Group Interview Questions

The Fibonacci sequence is a series of numbers in which each number is the sum of the two preceding ones, usually starting with 0 and 1. It is often used in algorithm examples, and is defined by the following formula: F(n) = F(n-1) + F(n-2), with F(0) = 0 and F(1) = 1.

Your task is to implement the Fibonacci algorithm in three different methods: 1. Recursively 2. Iteratively 3. Using Memoization

Example 1:

Input:

n = 5

Output:

fibonacci(n) -> 5

Example 2:

Input:

n = 10

Output:

fibonacci(n) -> 55

The Fibonacci sequence starts as follows: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55…