1.If x=∑n=0∞anx = \displaystyle\sum_{n=0}^{\infty} a^nx=n=0∑∞an, y=∑n=0∞bny = \displaystyle\sum_{n=0}^{\infty} b^ny=n=0∑∞bn, z=∑n=0∞cnz = \displaystyle\sum_{n=0}^{\infty} c^nz=n=0∑∞cn where a,b,ca, b, ca,b,c are in A.P. and ∣a∣<1|a| < 1∣a∣<1, ∣b∣<1|b| < 1∣b∣<1, ∣c∣<1|c| < 1∣c∣<1, then x,y,zx, y, zx,y,z are ina.H.P.b.Arithmetic–Geometric Progressionc.A.P.d.G.P.Login to continueOnly logged in users canattempt or see the solution.