SOLUTION: Describe the pattern and list the next three numbers: 1, 8, 27, 64, _________, ________, ___________ _

Algebra ->  Sequences-and-series -> SOLUTION: Describe the pattern and list the next three numbers: 1, 8, 27, 64, _________, ________, ___________ _      Log On


   

Question 97390: Describe the pattern and list the next three numbers:
1, 8, 27, 64, _________, ________, _____________
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
These numbers are a sequence of perfect cubes. In other words 1=1%5E3, 8=2%5E3, 27=3%5E3, 64=4%5E3, etc. and stops at n%5E3 (where n is any positive whole number)


So our sequence continues with 5%5E3=125, 6%5E3=216, 7%5E3=343


So our entire sequence is:

1, 8, 27, 64, 125, 216, 343