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The sequence 1, 8, 27, 64 represents the cubes of the natural numbers 1, 2, 3, and 4 respectively. In mathematical terms, this sequence follows the rule of n^3, where n represents the position of the number in the sequence. Therefore, the rule for this sequence is n^3, where n starts at 1 and increments by 1 for each subsequent number.
1 = 1^3
8 = 2^3
27 = 3^3
64 = 4^3
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In general the expression would be n^3 for n equal and greater than 1
That series is the cubes of the counting numbers.
Cubed integers
1 8 27 64 125 216 343
1, 8, 27, and 64 is.
216