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 consecutive integers: (1^3 = 1), (2^3 = 8), (3^3 = 27), and (4^3 = 64). The next integer is 5, so the next term in the sequence is (5^3 = 125). Thus, the next term is 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.
The sequence 1, 8, 27 consists of the cubes of the first three natural numbers: (1^3 = 1), (2^3 = 8), and (3^3 = 27). Following this pattern, the next number should be (4^3 = 64). Therefore, the missing number in the sequence is 64.
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 consecutive integers: (1^3 = 1), (2^3 = 8), (3^3 = 27), and (4^3 = 64). The next integer is 5, so the next term in the sequence is (5^3 = 125). Thus, the next term is 125.
These are perfect cubes (of 1, 2 and 3) so the next two are 64 and 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.
The sequence 1, 8, 27 consists of the cubes of the first three natural numbers: (1^3 = 1), (2^3 = 8), and (3^3 = 27). Following this pattern, the next number should be (4^3 = 64). Therefore, the missing number in the sequence is 64.
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.
In the list of cubes, the next number is 216.
The sequence given is based on the cubes of consecutive integers: (1^3 = 1), (2^3 = 8), and (3^3 = 27). The next two terms would be (4^3 = 64) and (5^3 = 125). Therefore, the next two terms are 64 and 125.
125 (the sequence is successive numbers cubed)
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, ...).
The sequence 1, 8, 27, 64 consists of perfect cubes: (1^3), (2^3), (3^3), and (4^3). Using inductive reasoning, one might predict that the next number in the sequence will be (5^3), which is 125. This approach relies on identifying a pattern in the existing numbers and projecting that pattern forward. Thus, the next term in the sequence would be 125.