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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 <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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