Pregunta
4.5.1 Write down the next \( \mathbf{2} \) values in the sequence: \[ 1 ; \quad 8 ; \quad 27 ; \ldots . . \quad \text {;...... } \]
Ask by Huang Beck. in South Africa
Feb 25,2025
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The next two values in the sequence are 64 and 125.
Solución
The given sequence is 1, 8, 27, ... and it represents the cubes of the natural numbers:
1 = 1³,
8 = 2³,
27 = 3³.
So the next two values are:
64 = 4³,
125 = 5³.
Therefore, the next two values in the sequence are 64 and 125.
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Simplifique esta solución Extra Insights
The sequence you've provided is made up of perfect cubes: \(1^3 = 1\), \(2^3 = 8\), and \(3^3 = 27\). Continuing this pattern, the next values in the sequence are \(4^3\) and \(5^3\). That gives us \(64\) and \(125\). So the next two values are \(64\) and \(125\).
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