To determine the initial value of the sequence from the given points \((0, 8)\), \((14, 4)\), \((2, 25.92)\), and \((3, 46.656)\), we should analyze the values based on the first element of each pair (which appears to be the x-value) to find the corresponding second element (y-value).
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The first point is \((0, 8)\), which indicates that when the first element \(x = 0\), the second element \(y = 8\). This suggests that the initial value or starting point of the sequence is \(8\).
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The subsequent points provide other y-values at different x-values but do not affect the initial value determined at \(x = 0\).
Thus, the initial value of the sequence, as indicated by the point \((0, 8)\), is:
Initial value = 8.