Sequences And Series

\(x = \sum\limits_{n = 0}^\infty {{a^n},y = \sum\limits_{n = 0}^\infty {{b^n},z = \sum\limits_{n = 0}^\infty {{c^n}} } }\), where a, b, c are in A.P. and |a| < 1, |b| < 1, |c| < 1, abc \(\ne\) 0, then :