document.write( "Question 854996: How you can find an arithmetic sequence that is related to the sequence of perfect cubes, 1, 8, 27, 64,125,...? \n" ); document.write( "

Algebra.Com's Answer #515050 by KMST(5328) $\"\"$ $\"About$

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Strange question.
\n" ); document.write( "The difference between consecutive terms of the sequence of perfect cubes are
\n" ); document.write( "7, 19, 37, 61, ....
\n" ); document.write( "The differences between consecutive differences are
\n" ); document.write( " $\"19-7=12\"$
\n" ); document.write( " $\"37-19=18\"$
\n" ); document.write( " $\"61-37=24\"$
\n" ); document.write( "and so on.
\n" ); document.write( "The differences of the differences, 12, 18, 24, ... form an arithmetic sequence.
\n" ); document.write( "Maybe that is the expected answer. \n" ); document.write( "

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