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15, 31, 63, 127, 255, --

  • A.513
  • B.511
  • C.517
  • D.523
  • E.None of these

Answer: B

Correct answer: 511

Each term is one less than a power of two: \( 2^4-1=15 \), \( 2^5-1=31 \), \( 2^6-1=63 \), \( 2^7-1=127 \), \( 2^8-1=255 \), so the next is \( 2^9-1 = \mathbf{511} \). Equivalently, each term is twice the one before, plus one.

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