5 Jan 2013

Fibonacci 2013

Let's start the new year with some mathematical puzzles with a 2013 theme.

In a Fibonacci sequence each term is equal to the sum of the previous two terms. Obviously, the first two terms have to be chosen, or given, and they define the evolution of the sequence.

The Question

The 7th term of a Fibonacci sequence is 2013. What is the smallest possible integer value of the 3rd term? The first two terms are both positive integers.

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>> Try the question before looking at the guided solution.

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Forgot to mention, I would like to see a method to go with your solution!

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Guided solution can be found here.


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