The next one is 125.
The missing numbers in the sequence are 1, 8, 27, and 64, which correspond to the cubes of the integers 1, 2, 3, and 4, respectively. The next number in the sequence would be 125, which is the cube of 5 (5^3). To identify this, I recognized the pattern of perfect cubes in the sequence.
The sequence given consists of the cubes of consecutive integers: (1^3 = 1), (2^3 = 8), (3^3 = 27), and (4^3 = 64). Therefore, the next number in the sequence is (5^3 = 125).
The given sequence consists of the cubes of the natural numbers: (1^3 = 1), (2^3 = 8), and (3^3 = 27). Following this pattern, the next number would be (4^3 = 64). Therefore, the missing number in the sequence is 64.
125 (the sequence is successive numbers cubed)
The sequence 1, 8, 64, 125 consists of perfect cubes: (1^3), (2^3), (4^3), and (5^3). The missing term is (3^3), which is 27. Therefore, the complete sequence would be 1, 8, 27, 64, 125.
The sequence given consists of the cubes of consecutive integers: (1^3 = 1), (2^3 = 8), (3^3 = 27), and (4^3 = 64). Therefore, the next number in the sequence is (5^3 = 125).
These are perfect cubes (of 1, 2 and 3) so the next two are 64 and 125
In the list of cubes, the next number is 216.
the cube root of 125 is 5, the cube root of 64 is 4, the cube root of 27 is 3, the cube root of 8 is 2, and the cube root of 1 is 1.
125 (the sequence is successive numbers cubed)
The sequence 1, 8, 64, 125 consists of perfect cubes: (1^3), (2^3), (4^3), and (5^3). The missing term is (3^3), which is 27. Therefore, the complete sequence would be 1, 8, 27, 64, 125.
1 8 27 64 125 216 343
The sequence -1, -8, -27, -64 consists of negative perfect cubes: specifically, -1 is (-1^3), -8 is (-2^3), -27 is (-3^3), and -64 is (-4^3). The conjecture suggests that the next term in the sequence would be (-125), which is (-5^3). Thus, the pattern follows the form of (-n^3) for (n = 1, 2, 3, 4, ...).
They are the cubes of the natural numbers, starting with 1.
They are perfect cubes: 13, 23, 33, 43, and 53.
64. It's the sequence f(n) = n^3
343.