Iterative fibonacci

• Learning hook - Digital Technologies Hub

  Using a Fibonacci iteration algorithm. First, establish with students the basic iterative rule for Fibonacci numbers:F(n) = F(n-2) + F(n-1) In each case have students check their algorithm works correctly for values of 0, 1, 2 as well as higher values. Discuss the importance of testing boundary conditions and ask students if they exist in this ...

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• [DOC File]Iteration through the Math Curriculum:

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  Activities: Arithmetic Sequence, Geometric Sequence, Fibonacci sequence, arithmetic series. Algebraic Iteration . Sequences built by numeric iteration provide fertile ground for exploring graphing and for understanding the relationship between the data generated by an iteration rule and the shape of a graph of that data. The graph of a sequence becomes another lens through which students can ...

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• [DOC File]Chapter 5 Recursion

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  Write an iterative version of the Fibonacci function. 3. Write an iterative function for the greatest common divisor. 5.4 Recursive Functions with Array Arguments. In this section, we will examine two familiar problems and implement recursive functions to solve them. Both problems involve processing an array. Case Study: Printing an Array Backwards. Problem. Provide a recursive solution to the ...

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• [DOC File]MIDTERM - Pace University

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  The iterative program for Fibonacci(n) is available in ComC.java file. How it Works: Base Case 1: If value of int n = 0, it will return output as 0. Base Case 2: If value of int n = 1, it will return output as 1. Case 1: If value of int n = 2, it will calculate sum of two earlier terms and returns the output. e.g. Fibonacci(2) = 1. Fibonacci(100) = 354224848179261915075. Output Analysis: For ...

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• [DOCX File]Chapter 12Testing with JUnit - Home | George Mason ...

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  Testing the fibonacci_iterative Method The fibonacci sequence looks like this: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, … It begins with the first two values being 1, and then each later value is the sum of the two previous fibonacci numbers.

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• [DOC File]Title

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  Recursive Fibonacci algorithm Algorithm 8, p. 316: Iterative Fibonacci algorithm Mathematical Induction in detail Mathematical Induction – proof structure 1. Prove base case. 2. Assume true for k & prove that it then follows for k+1 M.I. – proof structure, Rosen's notation P(n) denotes that the …

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