Fibonacci Numbers Ratio (Fib. #/next smaller Fib. #) Decimal 1 - - 1 ...

Fibonacci Numbers Ratio (Fib. #/next smaller Fib. #) Decimal 1 - - 1 ... Fibonacci Numbers Ratio (Fib. #/next smaller Fib. #) Decimal 1 - - 1 ...

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Name _______________________7 th Grade Period _______________1. List the first 15 terms of the Fibonacci Sequence.2. Find the ratios in the Fibonacci Sequence by filling in the following chart. Listthe first 15 numbers in the first column. Calculate the ratio of each FibonacciNumber to the next smaller Fibonacci Number and represent that ratio as adecimal. Round to the nearest thousandth.FibonacciRatioDecimalNumbers (Fib. #/next smaller Fib. #)1 - -1 1/1 12 2/1 23 3/2 1.6673. What do you notice about the decimal approximations of the ratios?

Name _______________________7 th Grade Period _______________1. List the first 15 terms of the <strong><strong>Fib</strong>onacci</strong> Sequence.2. Find the ratios in the <strong><strong>Fib</strong>onacci</strong> Sequence by filling in the following chart. Listthe first 15 numbers in the first column. Calculate the ratio of each <strong><strong>Fib</strong>onacci</strong>Number to the <strong>next</strong> <strong>smaller</strong> <strong><strong>Fib</strong>onacci</strong> Number and represent that ratio as adecimal. Round to the nearest thousandth.<strong><strong>Fib</strong>onacci</strong><strong>Ratio</strong><strong>Decimal</strong><strong>Numbers</strong> (<strong>Fib</strong>. #/<strong>next</strong> <strong>smaller</strong> <strong>Fib</strong>. #)1 - -1 1/1 12 2/1 23 3/2 1.6673. What do you notice about the decimal approximations of the ratios?


Name _________________7 th Grade Period _________Measure the following distances on your partner so he/she can record them. Round yourmeasurements to the nearest tenth.a = Top-of-head to chin = _____ cmb = Top-of-head to pupil = _____ cmc = Pupil to nose tip = _____ cmd = Pupil to lip = _____ cme = Width of nose = _____ cmf = Outside distance between eyes = _____ cmg = Width of head = _____ cmh = Hairline to pupil = _____ cmi = Nose tip to chin = _____ cmj = Lips to chin = _____ cmk = Length of lips = _____ cml = Nose tip to lips = _____ cmUse your calculator to find the following ratios, rounding to the nearest tenth.a/g = _____ cmb/d =_____ cmi/j = _____ cmi/c = _____ cme/l = _____ cmf/h = _____ cmk/e = _____ cmSHOW YOUR WORK!Find the mean of your 7 ratios.Calculate the percent difference between your mean ratio and the Golden <strong>Ratio</strong>.

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