Bolton Stephens
11/13/2023 · Primary School
6.) \( 64,125,216, \ldots, \cdots \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
The sequence you've provided is \( 64, 125, 216, \ldots \). Let's analyze the numbers:
- \( 64 = 4^3 \)
- \( 125 = 5^3 \)
- \( 216 = 6^3 \)
It appears that the sequence consists of the cubes of consecutive integers starting from 4.
Following this pattern, the next number in the sequence would be:
\[
7^3 = 343
\]
Thus, the next number in the sequence is \( 343 \).
The complete sequence is \( 64, 125, 216, 343, \ldots \).
Quick Answer
The next number in the sequence is \( 343 \).
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