Bolton Stephens
11/13/2023 · Primary School

6.) \( 64,125,216, \ldots, \cdots \)

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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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