The Fibonacci sequence is well used by artists due to its aesthetic value. Consider a Fibonacci...
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The Fibonacci sequence is well used by artists due to its aesthetic value. Consider a Fibonacci sequence with initial values: (1) Fn = Fn-1 + Fn-2, Fo= 2 and F₁ = 3 We would like to study the ratio n = = Fn+1/Fn. 1. Use Equation (1) to write MATLAB programs to solve the following problems: (a) Obtain a series of rn for n from 1 to 100 (for-loop). (b) Report rn and n when |rn - Tn-1| < 10−⁹ (while-loop). (c) Use a for-loop along with an if-statement to report rn and n when |rn − Tn-1| < 10−⁹. - The Fibonacci sequence is well used by artists due to its aesthetic value. Consider a Fibonacci sequence with initial values: (1) Fn = Fn-1 + Fn-2, Fo= 2 and F₁ = 3 We would like to study the ratio n = = Fn+1/Fn. 1. Use Equation (1) to write MATLAB programs to solve the following problems: (a) Obtain a series of rn for n from 1 to 100 (for-loop). (b) Report rn and n when |rn - Tn-1| < 10−⁹ (while-loop). (c) Use a for-loop along with an if-statement to report rn and n when |rn − Tn-1| < 10−⁹. -
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