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If x=underset(n=0)overset(oo)Sigma a^n,y...

If `x=underset(n=0)overset(oo)Sigma a^n,y=underset(n=0)overset(oo)Sigma b^n,z=underset(n=0)overset(oo)Sigmac^n` where a, b,and c are in A.P and `|a|lt 1 ,|b|lt 1 and |c|1 `then prove that x,y and z are in H.P

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