If x = _ n=0 ^ a^n, y = _ n=0 ^ b^n, z = _ n=0 ^ c^n where a, b, c are in A.P. and |a| < 1, |b| < 1, |c| < 1, then x, y, z are in

JEE Main 2005 Mathematics question

If , , where a, b, c are in A.P. and , , , then x, y, z are in

Answer: (4)

, , . Since a, b, c are in A.P., so are $1 -

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Question ID VK-038671