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Insert the missing number 4, -8, 16, -32, 64, (....)

  • A.128
  • B.-128
  • C.192
  • D.-192

Answer: B

Each term is the previous one multiplied by \( -2 \).

\[ 4 \times (-2) = -8,\quad -8 \times (-2) = 16,\quad 16 \times (-2) = -32 \]

\[ -32 \times (-2) = 64,\quad 64 \times (-2) = \mathbf{-128} \]

The signs alternate, and the sixth term must be negative - which by itself rules out the positive options.

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