If $\mathrm{x}=\sum _{\mathrm{n}=0}^{\mathrm{\infty }} {\mathrm{a}}^{\mathrm{n}},\mathrm{y}=\sum _{\mathrm{n}=0}^{\mathrm{\infty }} {\mathrm{b}}^{\mathrm{n}},\mathrm{z}=\sum _{\mathrm{n}=0}^{\mathrm{\infty }} {\mathrm{c}}^{\mathrm{n}}$ where a, b, c are in AP and | a |<1,| b |<1,| c |<1, then x, y, z are in (a,b,c are distinct)