a. Write the loop invariant Q for the iterative Fibonacci

Chapter 3, Problem 30

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QUESTION:

a. Write the loop invariant Q for the iterative Fibonacci algorithm. b. Prove that Q is a loop invariant.

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QUESTION:

a. Write the loop invariant Q for the iterative Fibonacci algorithm. b. Prove that Q is a loop invariant.

ANSWER:

Step 1 of 3

The numbers  are Fibonacci numbers. They have an interesting property: Any Fibonacci number, except the first two, is the sum of the two immediately preceding Fibonacci numbers. The Fibonacci sequence is given by the following relation.

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