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I was asked the following question in an interview:
Is there any way in which Fibonacci series can be generated using only 1 variable ?
I didn't know what to answer. What should I have said?
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The Fibonacci sequence is a set of integers (the Fibonacci numbers) that starts with a zero, followed by a one, then by another one, and then by a series of steadily increasing numbers. The sequence follows the rule that each number is equal to the sum of the preceding two numbers.
Yes, you can used the closed-form expression:
where
You can calculate the expression using a double and round the result to the nearest integer. Because of the finite precision of floating point arithmetic this formula will give a wrong answer for large enough n, but I think it will work in the case when the result fits into a Java 32-bit integer.
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