The Tribonacci Numbers are defined by To = T₁ = 0, T₂ = 1, and Tn = Tn-1 + Tn-2 +Tn_3. To derive an analogue of the Binet formula, we assume the tribonacci formula is of the form ● ● ● Tn = A + Bon + Co2. #1. Calculate Tn up to n = 20. Then calculate the Tn ratios Let to be the 20th ratio with six decimal Tn-1 places. #2. In the graph of f(x) = x³ - x² - x - 1 at right, the single real zero is approximately do. Verify by evaluating f(x) at po. #3. (Optional) Use synthetic division to factor f(x) = (x - ₂)q(x).
The Tribonacci Numbers are defined by To = T₁ = 0, T₂ = 1, and Tn = Tn-1 + Tn-2 +Tn_3. To derive an analogue of the Binet formula, we assume the tribonacci formula is of the form ● ● ● Tn = A + Bon + Co2. #1. Calculate Tn up to n = 20. Then calculate the Tn ratios Let to be the 20th ratio with six decimal Tn-1 places. #2. In the graph of f(x) = x³ - x² - x - 1 at right, the single real zero is approximately do. Verify by evaluating f(x) at po. #3. (Optional) Use synthetic division to factor f(x) = (x - ₂)q(x).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 71E
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