The next two numbers in the sequence 1, 8, 27 are 64 and 125.
This sequence represents the cubes of consecutive natural numbers. Let's break it down:
- 1 = 13 (1 cubed)
- 8 = 23 (2 cubed)
- 27 = 33 (3 cubed)
Following this pattern:
- The next number would be 43 = 64 (4 cubed)
- The number after that would be 53 = 125 (5 cubed)
Therefore, the sequence continues: 1, 8, 27, 64, 125... As mentioned in the reference, the sequence of cubes continues as 1, 8, 27, 64, 125, 216, 343, 512, ...