JEE Main 2005Annual, Paper 1MathematicsMediumSequence and Series179× since 2002If x=∑n=0∞an, y=∑n=0∞bn, z=∑n=0∞cn, x = \sum\limits_{n = 0}^\infty {{a^n},\,\,y = \sum\limits_{n = 0}^\infty {{b^n},\,\,z = \sum\limits_{n = 0}^\infty {{c^n},} } } \,\,x=n=0∑∞an,y=n=0∑∞bn,z=n=0∑∞cn, where a, b, c are in A.P and ∣a∣<1, ∣b∣<1, ∣c∣<1\,\left| a \right| < 1,\,\left| b \right| < 1,\,\left| c \right| < 1∣a∣<1,∣b∣<1,∣c∣<1 then x, y, z are inAOption A. G.P.BOption B. A.P.COption C. Arithmetic-Geometric ProgressionDOption D. H.P.CheckSkip · show solution
