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What single-digit number replaces the "?" below to go in the middle of the following set of numbers?

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What single-digit number replaces the "?" below to go in the middle of the following set of numbers?

1, 8, 10, ?, 8, 3, 11

posted May 1, 2017 by Saif Khanam

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3 rational numbers form a GP, if 8 is added to the middle number, then this new sequence forms an AP...

3 rational numbers form a geometric progression in its current order.

  1. If 8 is added to the middle number, then this new sequence forms an arithmetic progression.
  2. If 64 is later added to the last number, then this yet another sequence forms a geometric progression again.
  3. First number of these sequences is an integer.

Find the numbers?

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