The following expressions are called continued fractions: Each simplifies to an expression of the form Trace the
Question:
The following expressions are called continued fractions:
Each simplifies to an expression of the form
Trace the successive values of a, b, and c as you “continue” the fraction. Can you discover the patterns that these values follow? Go to the library and research Fibonacci numbers. Write a report on your findings.
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1 + 1 + -, 1 + 1 + 1 + х х х ах + b bx + c х
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1 1 X 1 1 1 1 1 1 x1 X X 1 1 1 1 x1x x1 a2b1c1 X 1 1 a1 b 1 c 0 1 x1 X 1 1 1 X 1 2x1x1 2x1 ...View the full answer
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