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JEE Math Practice Question

Let $${a_1}$$ , $${a_2}$$ , $${a_3}$$ ,....... be a G.P. such that $${a_1}$$ < 0, $${a_1}$$ + $${a_2}$$ = 4 and $${a_3}$$ + $${a_4}$$ = 16. If $$\sum\limits_{i = 1}^9 {{a_i}} = 4\lambda $$, then $$\lambda $$ is equal to:

  1. A.171
  2. B.-171
  3. C.-513
  4. D.$${{511} \over 3}$$

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