Problem 6 (Arithmetic Sequence)

If the numbers a, b and c are terms of an arithmetic sequence, then show that the numbers

A = a² + ab + b²
B = a² + ac + c²
C = b² + bc + c²

are also terms of an arithmetic sequence.

[Previous]	Problem 5 (Rolling Circles)
[Next]	Problem 7 (Equal Perimeter Problem)
[Up]	February Problems
[Home]	Home Page
[Mail]	Send EMail to Maine Math Talent Search
[Contents]	Maine Math Talent Search Contents

Last modified on Monday, February 08, 1999