Fibonacci Numbers Exploration

[size=150][left]The Fibonacci Sequence starts with the numbers 1,1... each successive number is found by adding the two numbers the precede it.[br][br]1. What happens to the ratio of one Fibonacci number to the number just before it as the numbers increase in the sequence? (Why?)[/left][/size]
[size=150]2. How about if you start with numbers other than 1 and 1? [br][br]Pick ANY two starting numbers enter them in the a_1 and a_2 boxes below:[/size]
[size=150]3. How about if you start with numbers other than 1 and 1? [br][br]Pick ANY two starting numbers enter them in the a_1 and a_2 boxes below:[/size]
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