SOLUTION: How you can find an arithmetic sequence that is related to the sequence of perfect cubes, 1, 8, 27, 64,125,...?
Algebra ->
Sequences-and-series
-> SOLUTION: How you can find an arithmetic sequence that is related to the sequence of perfect cubes, 1, 8, 27, 64,125,...?
Log On
Question 854996: How you can find an arithmetic sequence that is related to the sequence of perfect cubes, 1, 8, 27, 64,125,...? Answer by KMST(5328) (Show Source):
You can put this solution on YOUR website! Strange question.
The difference between consecutive terms of the sequence of perfect cubes are
7, 19, 37, 61, ....
The differences between consecutive differences are
and so on.
The differences of the differences, 12, 18, 24, ... form an arithmetic sequence.
Maybe that is the expected answer.
