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$ 11 + 13 = 24 $

$ 24 + (13 \times 2) = 50 $

$ 50 + (13 \times 4) = 102 $

$ 102 + (13 \times 8) = 206 $

$ \mathbf{206 + (13 \times 16) = 414 } $
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The pattern of the given series is as follows:

  • $11*2+2=24$
  • $24*2+2=50$
  • $50*2+2=102$
  • $102*2+2=206$
  • $206*2+2=414$

So the next term of the series is $414.$

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