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2 answers:
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Answer:
n = 8
Step-by-step explanation:
Continuing the sequence using
+
x₄ = x₂ + x₃ =1 + 2 = 3
x₅ = x₃ + x₄ = 2 + 3 = 5
x₆ = x₄ + x₅ = 3 + 5 = 8
x₇ = x₅ + x₆ = 5 + 8 = 13
x₈ = x₆ + x₇ = 8 + 13 = 21
x₉ = x₇ + x₈ = 13 + 21 = 34
x₁₀ = x₈ + x₉ = 21 + 34 = 55 ← with n = 8
From the graph shown it can be seen that the bridge is represented by a parabola with vertex of (5, 8) and roots of 1 and 9.
Recall that the vertex form of the equation of a parabola with vertex (h, k) is given by
Thus, the equation of the given graph in vertex form is given by
Also, recall that the equation of a parabola with roots, p and q, is given by
Thus the equation of the given graph can be given by
To get the value of a, we equate both equations and solve as follows:
Therefore, the <span>function that Lindsay used to create her design is
</span>
Recall that the vertex form of the equation of a parabola with vertex (h, k) is given by
Thus, the equation of the given graph in vertex form is given by
Also, recall that the equation of a parabola with roots, p and q, is given by
Thus the equation of the given graph can be given by
To get the value of a, we equate both equations and solve as follows:
Therefore, the <span>function that Lindsay used to create her design is
</span>