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JEE Math Practice Question

$$x = \sum\limits_{n = 0}^\infty {{a^n},y = \sum\limits_{n = 0}^\infty {{b^n},z = \sum\limits_{n = 0}^\infty {{c^n}} } } $$, where a, b, c are in A.P. and |a|

  1. A.x, y, z are in A.P.
  2. B.x, y, z are in G.P.
  3. C.$${1 \over x}$$, $${1 \over y}$$, $${1 \over z}$$ are in A.P.
  4. D.$${1 \over x}$$ + $${1 \over y}$$ + $${1 \over z}$$ = 1 $$-$$ (a + b + c)

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