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If x=sum(n=0)^(oo)a^n,y=sum(n=0)^(oo)b^n...

If `x=sum_(n=0)^(oo)a^n,y=sum_(n=0)^(oo)b^n,z=sum_(n=0)^(oo)c^n` where a, b, c are in A.P. and `|a| lt 1, |b| lt 1, |c| lt 1 , abc ne 0` then

A

x, y, z are in A.P.

B

x, y, z are in G.P.

C

`1/x , 1/y, 1/z` are in A.P.

D

`1/x+ 1/y + 1/z =1(a+b +c)`

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