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Since the sides of the rectangles are in the same proportion (namely 1.618...), we get: Now, let's return to the Fibonacci Sequence. The ratio of consecutive terms forms a sequence itself. Suppose we know that this sequence converges to some real number (we can prove this in a lesson on geometric sequences).
The Fibonacci sequence is a recursive series of numbers following the rule that any number is the sum of the previous two. Since starting with 0 would result in an unending sâ¦eries of zeros, that is excluded. So, starting with 1, you get: 1, 1 (the second number is the sum of the previous 2.