Ptolemy's theorem can be used to calculate this number, and this number is the limit of the ratios of successive terms of the Fibonacci sequence.
Defined as a continued fraction, this number can be represented as 1 plus [pause] 1 over [pause] 1 plus [pause] 1 over 1, and so on. Ptolemy's theorem can be used to calculate this number, and this number is the limit of the ratios of successive terms of the Fibonacci sequence. If a over b is equal to a+b all over a, that quotient is known as this number, and it can be approximated using the golden spiral. For 10 points, identify this number prominent in arts and architecture, equal to 1 plus the square root of 5 all over 2, approximately 1.618 and symbolized phi.
Defined as a continued fraction, this number can be represented as 1 plus [pause] 1 over [pause] 1 plus [pause] 1 over 1, and so on.
{golden ratio} [accept {golden number}, {golden proportion}, {golden mean}, {mean} of {Phidias}; accept {phi} before mentioned]