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2, 3, 3, 5, 10, 13, ?, 43, 172, 177

  • A.23
  • B.38
  • C.39
  • D.40

Answer: C

Correct answer: 39

The series alternately adds and multiplies, the number used rising by one each round: \( 2+1=3 \), \( 3\times1=3 \), \( 3+2=5 \), \( 5\times2=10 \), \( 10+3=13 \), so next \[ 13 \times 3 = \mathbf{39} \] and then \( 39+4=43 \), \( 43\times4=172 \), \( 172+5=177 \), as shown.

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