Question
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
Upstudy AI Solution
Tutor-Verified Answer
Answer
The next two values in the sequence are 64 and 125.
Solution
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.
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution 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 \(125\).
